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Finding the Fourth Proportional to 14,251.76, 21,372.24 and 6,854.48

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Solution

The fourth proportional to 14,251.76, 21,372.24 and 6,854.48 is: 10,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.76 : 21,372.24 = 6,854.48 : x
  2. Step 2: Convert to fraction form
    14,251.76/21,372.24 = 6,854.48/x
  3. Step 3: Cross multiply
    14,251.76x = 21,372.24 × 6,854.48
  4. Step 4: Simplify right side
    14,251.76x = 146,495,591.64
  5. Step 5: Solve for x
    x = 146,495,591.64/14,251.76
  6. Step 6: Final answer
    x = 10,279.12

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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.