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Finding the Fourth Proportional to 31,800.94, 47,695.26 and 9,609.14

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Solution

The fourth proportional to 31,800.94, 47,695.26 and 9,609.14 is: 14,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.94 : 47,695.26 = 9,609.14 : x
  2. Step 2: Convert to fraction form
    31,800.94/47,695.26 = 9,609.14/x
  3. Step 3: Cross multiply
    31,800.94x = 47,695.26 × 9,609.14
  4. Step 4: Simplify right side
    31,800.94x = 458,310,430.68
  5. Step 5: Solve for x
    x = 458,310,430.68/31,800.94
  6. Step 6: Final answer
    x = 14,411.85

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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.