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Finding the Fourth Proportional to 9,062.56, 12,531 and 7,896.16

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Solution

The fourth proportional to 9,062.56, 12,531 and 7,896.16 is: 10,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.56 : 12,531 = 7,896.16 : x
  2. Step 2: Convert to fraction form
    9,062.56/12,531 = 7,896.16/x
  3. Step 3: Cross multiply
    9,062.56x = 12,531 × 7,896.16
  4. Step 4: Simplify right side
    9,062.56x = 98,946,780.96
  5. Step 5: Solve for x
    x = 98,946,780.96/9,062.56
  6. Step 6: Final answer
    x = 10,918.19

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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.