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Finding the Fourth Proportional to 10,046.65, 15,073.62 and 3,473.50

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Solution

The fourth proportional to 10,046.65, 15,073.62 and 3,473.50 is: 5,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.65 : 15,073.62 = 3,473.50 : x
  2. Step 2: Convert to fraction form
    10,046.65/15,073.62 = 3,473.50/x
  3. Step 3: Cross multiply
    10,046.65x = 15,073.62 × 3,473.50
  4. Step 4: Simplify right side
    10,046.65x = 52,358,219.07
  5. Step 5: Solve for x
    x = 52,358,219.07/10,046.65
  6. Step 6: Final answer
    x = 5,211.51

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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.