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Finding the Fourth Proportional to 7,414.91, 10,232.84 and 4,899.23

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Solution

The fourth proportional to 7,414.91, 10,232.84 and 4,899.23 is: 6,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.91 : 10,232.84 = 4,899.23 : x
  2. Step 2: Convert to fraction form
    7,414.91/10,232.84 = 4,899.23/x
  3. Step 3: Cross multiply
    7,414.91x = 10,232.84 × 4,899.23
  4. Step 4: Simplify right side
    7,414.91x = 50,133,036.71
  5. Step 5: Solve for x
    x = 50,133,036.71/7,414.91
  6. Step 6: Final answer
    x = 6,761.11

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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.