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Finding the Fourth Proportional to 9,249, 13,877 and 5,553.81

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Solution

The fourth proportional to 9,249, 13,877 and 5,553.81 is: 8,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249 : 13,877 = 5,553.81 : x
  2. Step 2: Convert to fraction form
    9,249/13,877 = 5,553.81/x
  3. Step 3: Cross multiply
    9,249x = 13,877 × 5,553.81
  4. Step 4: Simplify right side
    9,249x = 77,070,221.37
  5. Step 5: Solve for x
    x = 77,070,221.37/9,249
  6. Step 6: Final answer
    x = 8,332.82

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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.