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Finding the Fourth Proportional to 7,122.75, 9,829.40 and 4,770.51

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Solution

The fourth proportional to 7,122.75, 9,829.40 and 4,770.51 is: 6,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.75 : 9,829.40 = 4,770.51 : x
  2. Step 2: Convert to fraction form
    7,122.75/9,829.40 = 4,770.51/x
  3. Step 3: Cross multiply
    7,122.75x = 9,829.40 × 4,770.51
  4. Step 4: Simplify right side
    7,122.75x = 46,891,227.14
  5. Step 5: Solve for x
    x = 46,891,227.14/7,122.75
  6. Step 6: Final answer
    x = 6,583.30

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Half scale
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Double scale
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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.