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Finding the Fourth Proportional to 7,005.98, 10,477.98 and 6,231.42

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Solution

The fourth proportional to 7,005.98, 10,477.98 and 6,231.42 is: 9,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.98 : 10,477.98 = 6,231.42 : x
  2. Step 2: Convert to fraction form
    7,005.98/10,477.98 = 6,231.42/x
  3. Step 3: Cross multiply
    7,005.98x = 10,477.98 × 6,231.42
  4. Step 4: Simplify right side
    7,005.98x = 65,292,694.13
  5. Step 5: Solve for x
    x = 65,292,694.13/7,005.98
  6. Step 6: Final answer
    x = 9,319.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.