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Finding the Fourth Proportional to 31,862.85, 47,794.28 and 9,675.15

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Solution

The fourth proportional to 31,862.85, 47,794.28 and 9,675.15 is: 14,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.85 : 47,794.28 = 9,675.15 : x
  2. Step 2: Convert to fraction form
    31,862.85/47,794.28 = 9,675.15/x
  3. Step 3: Cross multiply
    31,862.85x = 47,794.28 × 9,675.15
  4. Step 4: Simplify right side
    31,862.85x = 462,416,779.77
  5. Step 5: Solve for x
    x = 462,416,779.77/31,862.85
  6. Step 6: Final answer
    x = 14,512.73

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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.