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Finding the Fourth Proportional to 11,463.60, 15,819.48 and 6,748.17

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Solution

The fourth proportional to 11,463.60, 15,819.48 and 6,748.17 is: 9,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.60 : 15,819.48 = 6,748.17 : x
  2. Step 2: Convert to fraction form
    11,463.60/15,819.48 = 6,748.17/x
  3. Step 3: Cross multiply
    11,463.60x = 15,819.48 × 6,748.17
  4. Step 4: Simplify right side
    11,463.60x = 106,752,540.35
  5. Step 5: Solve for x
    x = 106,752,540.35/11,463.60
  6. Step 6: Final answer
    x = 9,312.31

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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.