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Finding the Fourth Proportional to 34,188.52, 51,282.78 and 9,564.52

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Solution

The fourth proportional to 34,188.52, 51,282.78 and 9,564.52 is: 14,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,188.52 : 51,282.78 = 9,564.52 : x
  2. Step 2: Convert to fraction form
    34,188.52/51,282.78 = 9,564.52/x
  3. Step 3: Cross multiply
    34,188.52x = 51,282.78 × 9,564.52
  4. Step 4: Simplify right side
    34,188.52x = 490,495,174.97
  5. Step 5: Solve for x
    x = 490,495,174.97/34,188.52
  6. Step 6: Final answer
    x = 14,346.78

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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.