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Finding the Fourth Proportional to 7,062.83, 9,752.90 and 4,414.76

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Solution

The fourth proportional to 7,062.83, 9,752.90 and 4,414.76 is: 6,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,062.83 : 9,752.90 = 4,414.76 : x
  2. Step 2: Convert to fraction form
    7,062.83/9,752.90 = 4,414.76/x
  3. Step 3: Cross multiply
    7,062.83x = 9,752.90 × 4,414.76
  4. Step 4: Simplify right side
    7,062.83x = 43,056,641.97
  5. Step 5: Solve for x
    x = 43,056,641.97/7,062.83
  6. Step 6: Final answer
    x = 6,096.24

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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.