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Finding the Fourth Proportional to 7,697.52, 11,543.04 and 2,431.08

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Solution

The fourth proportional to 7,697.52, 11,543.04 and 2,431.08 is: 3,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.52 : 11,543.04 = 2,431.08 : x
  2. Step 2: Convert to fraction form
    7,697.52/11,543.04 = 2,431.08/x
  3. Step 3: Cross multiply
    7,697.52x = 11,543.04 × 2,431.08
  4. Step 4: Simplify right side
    7,697.52x = 28,062,053.68
  5. Step 5: Solve for x
    x = 28,062,053.68/7,697.52
  6. Step 6: Final answer
    x = 3,645.60

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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.