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Finding the Fourth Proportional to 8,971.92, 12,381.39 and 4,993.20

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Solution

The fourth proportional to 8,971.92, 12,381.39 and 4,993.20 is: 6,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.92 : 12,381.39 = 4,993.20 : x
  2. Step 2: Convert to fraction form
    8,971.92/12,381.39 = 4,993.20/x
  3. Step 3: Cross multiply
    8,971.92x = 12,381.39 × 4,993.20
  4. Step 4: Simplify right side
    8,971.92x = 61,822,756.55
  5. Step 5: Solve for x
    x = 61,822,756.55/8,971.92
  6. Step 6: Final answer
    x = 6,890.69

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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.