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Finding the Fourth Proportional to 8,429.40, 12,644.10 and 4,282.20

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Solution

The fourth proportional to 8,429.40, 12,644.10 and 4,282.20 is: 6,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.40 : 12,644.10 = 4,282.20 : x
  2. Step 2: Convert to fraction form
    8,429.40/12,644.10 = 4,282.20/x
  3. Step 3: Cross multiply
    8,429.40x = 12,644.10 × 4,282.20
  4. Step 4: Simplify right side
    8,429.40x = 54,144,565.02
  5. Step 5: Solve for x
    x = 54,144,565.02/8,429.40
  6. Step 6: Final answer
    x = 6,423.30

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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.