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Finding the Fourth Proportional to 7,277.92, 10,042.96 and 4,721.12

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Solution

The fourth proportional to 7,277.92, 10,042.96 and 4,721.12 is: 6,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.92 : 10,042.96 = 4,721.12 : x
  2. Step 2: Convert to fraction form
    7,277.92/10,042.96 = 4,721.12/x
  3. Step 3: Cross multiply
    7,277.92x = 10,042.96 × 4,721.12
  4. Step 4: Simplify right side
    7,277.92x = 47,414,019.32
  5. Step 5: Solve for x
    x = 47,414,019.32/7,277.92
  6. Step 6: Final answer
    x = 6,514.78

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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.