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Finding the Fourth Proportional to 24,314.04, 36,470.98 and 7,898.04

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Solution

The fourth proportional to 24,314.04, 36,470.98 and 7,898.04 is: 11,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.04 : 36,470.98 = 7,898.04 : x
  2. Step 2: Convert to fraction form
    24,314.04/36,470.98 = 7,898.04/x
  3. Step 3: Cross multiply
    24,314.04x = 36,470.98 × 7,898.04
  4. Step 4: Simplify right side
    24,314.04x = 288,049,258.88
  5. Step 5: Solve for x
    x = 288,049,258.88/24,314.04
  6. Step 6: Final answer
    x = 11,847.03

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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.