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Finding the Fourth Proportional to 7,342.54, 10,132.65 and 3,985.27

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Solution

The fourth proportional to 7,342.54, 10,132.65 and 3,985.27 is: 5,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.54 : 10,132.65 = 3,985.27 : x
  2. Step 2: Convert to fraction form
    7,342.54/10,132.65 = 3,985.27/x
  3. Step 3: Cross multiply
    7,342.54x = 10,132.65 × 3,985.27
  4. Step 4: Simplify right side
    7,342.54x = 40,381,346.07
  5. Step 5: Solve for x
    x = 40,381,346.07/7,342.54
  6. Step 6: Final answer
    x = 5,499.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.