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Finding the Fourth Proportional to 34,134.52, 51,201.74 and 9,510.52

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Solution

The fourth proportional to 34,134.52, 51,201.74 and 9,510.52 is: 14,265.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134.52 : 51,201.74 = 9,510.52 : x
  2. Step 2: Convert to fraction form
    34,134.52/51,201.74 = 9,510.52/x
  3. Step 3: Cross multiply
    34,134.52x = 51,201.74 × 9,510.52
  4. Step 4: Simplify right side
    34,134.52x = 486,955,172.30
  5. Step 5: Solve for x
    x = 486,955,172.30/34,134.52
  6. Step 6: Final answer
    x = 14,265.77

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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.