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Finding the Fourth Proportional to 34,134.08, 51,201.20 and 9,510.08

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Solution

The fourth proportional to 34,134.08, 51,201.20 and 9,510.08 is: 14,265.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134.08 : 51,201.20 = 9,510.08 : x
  2. Step 2: Convert to fraction form
    34,134.08/51,201.20 = 9,510.08/x
  3. Step 3: Cross multiply
    34,134.08x = 51,201.20 × 9,510.08
  4. Step 4: Simplify right side
    34,134.08x = 486,927,508.10
  5. Step 5: Solve for x
    x = 486,927,508.10/34,134.08
  6. Step 6: Final answer
    x = 14,265.14

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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.