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Finding the Fourth Proportional to 10,493.96, 15,740.93 and 9,968.47

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Solution

The fourth proportional to 10,493.96, 15,740.93 and 9,968.47 is: 14,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.96 : 15,740.93 = 9,968.47 : x
  2. Step 2: Convert to fraction form
    10,493.96/15,740.93 = 9,968.47/x
  3. Step 3: Cross multiply
    10,493.96x = 15,740.93 × 9,968.47
  4. Step 4: Simplify right side
    10,493.96x = 156,912,974.05
  5. Step 5: Solve for x
    x = 156,912,974.05/10,493.96
  6. Step 6: Final answer
    x = 14,952.70

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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.