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Finding the Fourth Proportional to 9,248.97, 12,763.59 and 5,057.22

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Solution

The fourth proportional to 9,248.97, 12,763.59 and 5,057.22 is: 6,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.97 : 12,763.59 = 5,057.22 : x
  2. Step 2: Convert to fraction form
    9,248.97/12,763.59 = 5,057.22/x
  3. Step 3: Cross multiply
    9,248.97x = 12,763.59 × 5,057.22
  4. Step 4: Simplify right side
    9,248.97x = 64,548,282.62
  5. Step 5: Solve for x
    x = 64,548,282.62/9,248.97
  6. Step 6: Final answer
    x = 6,978.97

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Double scale
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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.