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Finding the Fourth Proportional to 8,824.50, 12,177.81 and 5,098.50

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Solution

The fourth proportional to 8,824.50, 12,177.81 and 5,098.50 is: 7,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.50 : 12,177.81 = 5,098.50 : x
  2. Step 2: Convert to fraction form
    8,824.50/12,177.81 = 5,098.50/x
  3. Step 3: Cross multiply
    8,824.50x = 12,177.81 × 5,098.50
  4. Step 4: Simplify right side
    8,824.50x = 62,088,564.29
  5. Step 5: Solve for x
    x = 62,088,564.29/8,824.50
  6. Step 6: Final answer
    x = 7,035.93

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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.