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Finding the Fourth Proportional to 8,309.52, 12,460.56 and 2,464.08

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Solution

The fourth proportional to 8,309.52, 12,460.56 and 2,464.08 is: 3,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.52 : 12,460.56 = 2,464.08 : x
  2. Step 2: Convert to fraction form
    8,309.52/12,460.56 = 2,464.08/x
  3. Step 3: Cross multiply
    8,309.52x = 12,460.56 × 2,464.08
  4. Step 4: Simplify right side
    8,309.52x = 30,703,816.68
  5. Step 5: Solve for x
    x = 30,703,816.68/8,309.52
  6. Step 6: Final answer
    x = 3,695.02

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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.