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Finding the Fourth Proportional to 8,971.92, 12,377.16 and 5,433.84

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Solution

The fourth proportional to 8,971.92, 12,377.16 and 5,433.84 is: 7,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.92 : 12,377.16 = 5,433.84 : x
  2. Step 2: Convert to fraction form
    8,971.92/12,377.16 = 5,433.84/x
  3. Step 3: Cross multiply
    8,971.92x = 12,377.16 × 5,433.84
  4. Step 4: Simplify right side
    8,971.92x = 67,255,507.09
  5. Step 5: Solve for x
    x = 67,255,507.09/8,971.92
  6. Step 6: Final answer
    x = 7,496.22

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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.