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Finding the Fourth Proportional to 8,566.40, 12,830.40 and 8,374.40

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Solution

The fourth proportional to 8,566.40, 12,830.40 and 8,374.40 is: 12,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.40 : 12,830.40 = 8,374.40 : x
  2. Step 2: Convert to fraction form
    8,566.40/12,830.40 = 8,374.40/x
  3. Step 3: Cross multiply
    8,566.40x = 12,830.40 × 8,374.40
  4. Step 4: Simplify right side
    8,566.40x = 107,446,901.76
  5. Step 5: Solve for x
    x = 107,446,901.76/8,566.40
  6. Step 6: Final answer
    x = 12,542.83

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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.