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Finding the Fourth Proportional to 10,148.66, 15,224.20 and 4,304.50

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Solution

The fourth proportional to 10,148.66, 15,224.20 and 4,304.50 is: 6,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.66 : 15,224.20 = 4,304.50 : x
  2. Step 2: Convert to fraction form
    10,148.66/15,224.20 = 4,304.50/x
  3. Step 3: Cross multiply
    10,148.66x = 15,224.20 × 4,304.50
  4. Step 4: Simplify right side
    10,148.66x = 65,532,568.90
  5. Step 5: Solve for x
    x = 65,532,568.90/10,148.66
  6. Step 6: Final answer
    x = 6,457.26

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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.