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Finding the Fourth Proportional to 31,862.60, 47,793.90 and 9,674.90

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Solution

The fourth proportional to 31,862.60, 47,793.90 and 9,674.90 is: 14,512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.60 : 47,793.90 = 9,674.90 : x
  2. Step 2: Convert to fraction form
    31,862.60/47,793.90 = 9,674.90/x
  3. Step 3: Cross multiply
    31,862.60x = 47,793.90 × 9,674.90
  4. Step 4: Simplify right side
    31,862.60x = 462,401,203.11
  5. Step 5: Solve for x
    x = 462,401,203.11/31,862.60
  6. Step 6: Final answer
    x = 14,512.35

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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.