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Finding the Fourth Proportional to 7,895.27, 11,840.53 and 6,505.16

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Solution

The fourth proportional to 7,895.27, 11,840.53 and 6,505.16 is: 9,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.27 : 11,840.53 = 6,505.16 : x
  2. Step 2: Convert to fraction form
    7,895.27/11,840.53 = 6,505.16/x
  3. Step 3: Cross multiply
    7,895.27x = 11,840.53 × 6,505.16
  4. Step 4: Simplify right side
    7,895.27x = 77,024,542.13
  5. Step 5: Solve for x
    x = 77,024,542.13/7,895.27
  6. Step 6: Final answer
    x = 9,755.78

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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.