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Finding the Fourth Proportional to 10,248.36, 15,373.84 and 3,674

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Solution

The fourth proportional to 10,248.36, 15,373.84 and 3,674 is: 5,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.36 : 15,373.84 = 3,674 : x
  2. Step 2: Convert to fraction form
    10,248.36/15,373.84 = 3,674/x
  3. Step 3: Cross multiply
    10,248.36x = 15,373.84 × 3,674
  4. Step 4: Simplify right side
    10,248.36x = 56,483,488.16
  5. Step 5: Solve for x
    x = 56,483,488.16/10,248.36
  6. Step 6: Final answer
    x = 5,511.47

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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.