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Finding the Fourth Proportional to 8,967.43, 12,370 and 5,381.46

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Solution

The fourth proportional to 8,967.43, 12,370 and 5,381.46 is: 7,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.43 : 12,370 = 5,381.46 : x
  2. Step 2: Convert to fraction form
    8,967.43/12,370 = 5,381.46/x
  3. Step 3: Cross multiply
    8,967.43x = 12,370 × 5,381.46
  4. Step 4: Simplify right side
    8,967.43x = 66,568,660.20
  5. Step 5: Solve for x
    x = 66,568,660.20/8,967.43
  6. Step 6: Final answer
    x = 7,423.38

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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.