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Finding the Fourth Proportional to 13,013.76, 17,963.04 and 7,428.48

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Solution

The fourth proportional to 13,013.76, 17,963.04 and 7,428.48 is: 10,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.76 : 17,963.04 = 7,428.48 : x
  2. Step 2: Convert to fraction form
    13,013.76/17,963.04 = 7,428.48/x
  3. Step 3: Cross multiply
    13,013.76x = 17,963.04 × 7,428.48
  4. Step 4: Simplify right side
    13,013.76x = 133,438,083.38
  5. Step 5: Solve for x
    x = 133,438,083.38/13,013.76
  6. Step 6: Final answer
    x = 10,253.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.