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Finding the Fourth Proportional to 7,471.87, 10,307.30 and 6,057.16

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Solution

The fourth proportional to 7,471.87, 10,307.30 and 6,057.16 is: 8,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.87 : 10,307.30 = 6,057.16 : x
  2. Step 2: Convert to fraction form
    7,471.87/10,307.30 = 6,057.16/x
  3. Step 3: Cross multiply
    7,471.87x = 10,307.30 × 6,057.16
  4. Step 4: Simplify right side
    7,471.87x = 62,432,954.64
  5. Step 5: Solve for x
    x = 62,432,954.64/7,471.87
  6. Step 6: Final answer
    x = 8,355.74

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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.