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Finding the Fourth Proportional to 8,965.76, 13,358.54 and 8,462.76

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Solution

The fourth proportional to 8,965.76, 13,358.54 and 8,462.76 is: 12,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.76 : 13,358.54 = 8,462.76 : x
  2. Step 2: Convert to fraction form
    8,965.76/13,358.54 = 8,462.76/x
  3. Step 3: Cross multiply
    8,965.76x = 13,358.54 × 8,462.76
  4. Step 4: Simplify right side
    8,965.76x = 113,050,117.97
  5. Step 5: Solve for x
    x = 113,050,117.97/8,965.76
  6. Step 6: Final answer
    x = 12,609.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.