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Finding the Fourth Proportional to 8,824.76, 12,178.16 and 5,098.76

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Solution

The fourth proportional to 8,824.76, 12,178.16 and 5,098.76 is: 7,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.76 : 12,178.16 = 5,098.76 : x
  2. Step 2: Convert to fraction form
    8,824.76/12,178.16 = 5,098.76/x
  3. Step 3: Cross multiply
    8,824.76x = 12,178.16 × 5,098.76
  4. Step 4: Simplify right side
    8,824.76x = 62,093,515.08
  5. Step 5: Solve for x
    x = 62,093,515.08/8,824.76
  6. Step 6: Final answer
    x = 7,036.28

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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.