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Finding the Fourth Proportional to 10,691.24, 14,754.66 and 6,965.24

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Solution

The fourth proportional to 10,691.24, 14,754.66 and 6,965.24 is: 9,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.24 : 14,754.66 = 6,965.24 : x
  2. Step 2: Convert to fraction form
    10,691.24/14,754.66 = 6,965.24/x
  3. Step 3: Cross multiply
    10,691.24x = 14,754.66 × 6,965.24
  4. Step 4: Simplify right side
    10,691.24x = 102,769,748.02
  5. Step 5: Solve for x
    x = 102,769,748.02/10,691.24
  6. Step 6: Final answer
    x = 9,612.52

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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.