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Finding the Fourth Proportional to 10,483.44, 15,729.48 and 7,724.04

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Solution

The fourth proportional to 10,483.44, 15,729.48 and 7,724.04 is: 11,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.44 : 15,729.48 = 7,724.04 : x
  2. Step 2: Convert to fraction form
    10,483.44/15,729.48 = 7,724.04/x
  3. Step 3: Cross multiply
    10,483.44x = 15,729.48 × 7,724.04
  4. Step 4: Simplify right side
    10,483.44x = 121,495,132.70
  5. Step 5: Solve for x
    x = 121,495,132.70/10,483.44
  6. Step 6: Final answer
    x = 11,589.24

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1.5x scale

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.