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Finding the Fourth Proportional to 9,921.92, 13,693.10 and 5,446.55

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Solution

The fourth proportional to 9,921.92, 13,693.10 and 5,446.55 is: 7,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.92 : 13,693.10 = 5,446.55 : x
  2. Step 2: Convert to fraction form
    9,921.92/13,693.10 = 5,446.55/x
  3. Step 3: Cross multiply
    9,921.92x = 13,693.10 × 5,446.55
  4. Step 4: Simplify right side
    9,921.92x = 74,580,058.11
  5. Step 5: Solve for x
    x = 74,580,058.11/9,921.92
  6. Step 6: Final answer
    x = 7,516.70

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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.