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Finding the Fourth Proportional to 11,414.76, 15,752.06 and 6,379.02

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Solution

The fourth proportional to 11,414.76, 15,752.06 and 6,379.02 is: 8,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.76 : 15,752.06 = 6,379.02 : x
  2. Step 2: Convert to fraction form
    11,414.76/15,752.06 = 6,379.02/x
  3. Step 3: Cross multiply
    11,414.76x = 15,752.06 × 6,379.02
  4. Step 4: Simplify right side
    11,414.76x = 100,482,705.78
  5. Step 5: Solve for x
    x = 100,482,705.78/11,414.76
  6. Step 6: Final answer
    x = 8,802.88

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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.