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Finding the Fourth Proportional to 11,400.76, 15,732.82 and 6,432.76

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Solution

The fourth proportional to 11,400.76, 15,732.82 and 6,432.76 is: 8,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.76 : 15,732.82 = 6,432.76 : x
  2. Step 2: Convert to fraction form
    11,400.76/15,732.82 = 6,432.76/x
  3. Step 3: Cross multiply
    11,400.76x = 15,732.82 × 6,432.76
  4. Step 4: Simplify right side
    11,400.76x = 101,205,455.18
  5. Step 5: Solve for x
    x = 101,205,455.18/11,400.76
  6. Step 6: Final answer
    x = 8,877.08

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Half scale
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Double scale
Find fourth proportional to 11,401.76, 15,734.20 and 6,433.76
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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.