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Finding the Fourth Proportional to 7,472.78, 11,210.86 and 2,278.26

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Solution

The fourth proportional to 7,472.78, 11,210.86 and 2,278.26 is: 3,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.78 : 11,210.86 = 2,278.26 : x
  2. Step 2: Convert to fraction form
    7,472.78/11,210.86 = 2,278.26/x
  3. Step 3: Cross multiply
    7,472.78x = 11,210.86 × 2,278.26
  4. Step 4: Simplify right side
    7,472.78x = 25,541,253.90
  5. Step 5: Solve for x
    x = 25,541,253.90/7,472.78
  6. Step 6: Final answer
    x = 3,417.91

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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.