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Finding the Fourth Proportional to 10,434.06, 15,661.62 and 6,060.06

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Solution

The fourth proportional to 10,434.06, 15,661.62 and 6,060.06 is: 9,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.06 : 15,661.62 = 6,060.06 : x
  2. Step 2: Convert to fraction form
    10,434.06/15,661.62 = 6,060.06/x
  3. Step 3: Cross multiply
    10,434.06x = 15,661.62 × 6,060.06
  4. Step 4: Simplify right side
    10,434.06x = 94,910,356.90
  5. Step 5: Solve for x
    x = 94,910,356.90/10,434.06
  6. Step 6: Final answer
    x = 9,096.21

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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.