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Finding the Fourth Proportional to 9,853.92, 14,787.36 and 5,240.16

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Solution

The fourth proportional to 9,853.92, 14,787.36 and 5,240.16 is: 7,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.92 : 14,787.36 = 5,240.16 : x
  2. Step 2: Convert to fraction form
    9,853.92/14,787.36 = 5,240.16/x
  3. Step 3: Cross multiply
    9,853.92x = 14,787.36 × 5,240.16
  4. Step 4: Simplify right side
    9,853.92x = 77,488,132.38
  5. Step 5: Solve for x
    x = 77,488,132.38/9,853.92
  6. Step 6: Final answer
    x = 7,863.69

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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.