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Finding the Fourth Proportional to 9,224.64, 12,718.08 and 7,631.04

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Solution

The fourth proportional to 9,224.64, 12,718.08 and 7,631.04 is: 10,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.64 : 12,718.08 = 7,631.04 : x
  2. Step 2: Convert to fraction form
    9,224.64/12,718.08 = 7,631.04/x
  3. Step 3: Cross multiply
    9,224.64x = 12,718.08 × 7,631.04
  4. Step 4: Simplify right side
    9,224.64x = 97,052,177.20
  5. Step 5: Solve for x
    x = 97,052,177.20/9,224.64
  6. Step 6: Final answer
    x = 10,520.97

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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.