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Finding the Fourth Proportional to 10,267.70, 15,401.55 and 9,733.10

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Solution

The fourth proportional to 10,267.70, 15,401.55 and 9,733.10 is: 14,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.70 : 15,401.55 = 9,733.10 : x
  2. Step 2: Convert to fraction form
    10,267.70/15,401.55 = 9,733.10/x
  3. Step 3: Cross multiply
    10,267.70x = 15,401.55 × 9,733.10
  4. Step 4: Simplify right side
    10,267.70x = 149,904,826.31
  5. Step 5: Solve for x
    x = 149,904,826.31/10,267.70
  6. Step 6: Final answer
    x = 14,599.65

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Similar ratio
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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.