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Finding the Fourth Proportional to 9,691.14, 14,524.52 and 5,248.63

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Solution

The fourth proportional to 9,691.14, 14,524.52 and 5,248.63 is: 7,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.14 : 14,524.52 = 5,248.63 : x
  2. Step 2: Convert to fraction form
    9,691.14/14,524.52 = 5,248.63/x
  3. Step 3: Cross multiply
    9,691.14x = 14,524.52 × 5,248.63
  4. Step 4: Simplify right side
    9,691.14x = 76,233,831.41
  5. Step 5: Solve for x
    x = 76,233,831.41/9,691.14
  6. Step 6: Final answer
    x = 7,866.34

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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.