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Finding the Fourth Proportional to 7,712.97, 10,643.49 and 4,525.82

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Solution

The fourth proportional to 7,712.97, 10,643.49 and 4,525.82 is: 6,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.97 : 10,643.49 = 4,525.82 : x
  2. Step 2: Convert to fraction form
    7,712.97/10,643.49 = 4,525.82/x
  3. Step 3: Cross multiply
    7,712.97x = 10,643.49 × 4,525.82
  4. Step 4: Simplify right side
    7,712.97x = 48,170,519.91
  5. Step 5: Solve for x
    x = 48,170,519.91/7,712.97
  6. Step 6: Final answer
    x = 6,245.39

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Half scale
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Double scale
Find fourth proportional to 7,713.97, 10,644.87 and 4,526.82
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.