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Finding the Fourth Proportional to 8,422.40, 12,614.40 and 4,966.40

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Solution

The fourth proportional to 8,422.40, 12,614.40 and 4,966.40 is: 7,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.40 : 12,614.40 = 4,966.40 : x
  2. Step 2: Convert to fraction form
    8,422.40/12,614.40 = 4,966.40/x
  3. Step 3: Cross multiply
    8,422.40x = 12,614.40 × 4,966.40
  4. Step 4: Simplify right side
    8,422.40x = 62,648,156.16
  5. Step 5: Solve for x
    x = 62,648,156.16/8,422.40
  6. Step 6: Final answer
    x = 7,438.28

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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.