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Finding the Fourth Proportional to 10,505.88, 15,747.48 and 4,654.44

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Solution

The fourth proportional to 10,505.88, 15,747.48 and 4,654.44 is: 6,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.88 : 15,747.48 = 4,654.44 : x
  2. Step 2: Convert to fraction form
    10,505.88/15,747.48 = 4,654.44/x
  3. Step 3: Cross multiply
    10,505.88x = 15,747.48 × 4,654.44
  4. Step 4: Simplify right side
    10,505.88x = 73,295,700.81
  5. Step 5: Solve for x
    x = 73,295,700.81/10,505.88
  6. Step 6: Final answer
    x = 6,976.64

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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.