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Finding the Fourth Proportional to 10,033.53, 15,044.82 and 7,966.81

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Solution

The fourth proportional to 10,033.53, 15,044.82 and 7,966.81 is: 11,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.53 : 15,044.82 = 7,966.81 : x
  2. Step 2: Convert to fraction form
    10,033.53/15,044.82 = 7,966.81/x
  3. Step 3: Cross multiply
    10,033.53x = 15,044.82 × 7,966.81
  4. Step 4: Simplify right side
    10,033.53x = 119,859,182.59
  5. Step 5: Solve for x
    x = 119,859,182.59/10,033.53
  6. Step 6: Final answer
    x = 11,945.86

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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.