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Finding the Fourth Proportional to 10,480.56, 15,712 and 4,552.96

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Solution

The fourth proportional to 10,480.56, 15,712 and 4,552.96 is: 6,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.56 : 15,712 = 4,552.96 : x
  2. Step 2: Convert to fraction form
    10,480.56/15,712 = 4,552.96/x
  3. Step 3: Cross multiply
    10,480.56x = 15,712 × 4,552.96
  4. Step 4: Simplify right side
    10,480.56x = 71,536,107.52
  5. Step 5: Solve for x
    x = 71,536,107.52/10,480.56
  6. Step 6: Final answer
    x = 6,825.60

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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.