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Finding the Fourth Proportional to 8,981.76, 13,464.36 and 8,243.76

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Solution

The fourth proportional to 8,981.76, 13,464.36 and 8,243.76 is: 12,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,981.76 : 13,464.36 = 8,243.76 : x
  2. Step 2: Convert to fraction form
    8,981.76/13,464.36 = 8,243.76/x
  3. Step 3: Cross multiply
    8,981.76x = 13,464.36 × 8,243.76
  4. Step 4: Simplify right side
    8,981.76x = 110,996,952.39
  5. Step 5: Solve for x
    x = 110,996,952.39/8,981.76
  6. Step 6: Final answer
    x = 12,358.04

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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.