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Finding the Fourth Proportional to 10,097.57, 15,146.13 and 2,702.03

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Solution

The fourth proportional to 10,097.57, 15,146.13 and 2,702.03 is: 4,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.57 : 15,146.13 = 2,702.03 : x
  2. Step 2: Convert to fraction form
    10,097.57/15,146.13 = 2,702.03/x
  3. Step 3: Cross multiply
    10,097.57x = 15,146.13 × 2,702.03
  4. Step 4: Simplify right side
    10,097.57x = 40,925,232.05
  5. Step 5: Solve for x
    x = 40,925,232.05/10,097.57
  6. Step 6: Final answer
    x = 4,052.98

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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.