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Finding the Fourth Proportional to 8,924.60, 13,374.10 and 6,566.20

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Solution

The fourth proportional to 8,924.60, 13,374.10 and 6,566.20 is: 9,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.60 : 13,374.10 = 6,566.20 : x
  2. Step 2: Convert to fraction form
    8,924.60/13,374.10 = 6,566.20/x
  3. Step 3: Cross multiply
    8,924.60x = 13,374.10 × 6,566.20
  4. Step 4: Simplify right side
    8,924.60x = 87,817,015.42
  5. Step 5: Solve for x
    x = 87,817,015.42/8,924.60
  6. Step 6: Final answer
    x = 9,839.88

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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.