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Finding the Fourth Proportional to 20,309.60, 30,463.60 and 6,458.08

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Solution

The fourth proportional to 20,309.60, 30,463.60 and 6,458.08 is: 9,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.60 : 30,463.60 = 6,458.08 : x
  2. Step 2: Convert to fraction form
    20,309.60/30,463.60 = 6,458.08/x
  3. Step 3: Cross multiply
    20,309.60x = 30,463.60 × 6,458.08
  4. Step 4: Simplify right side
    20,309.60x = 196,736,365.89
  5. Step 5: Solve for x
    x = 196,736,365.89/20,309.60
  6. Step 6: Final answer
    x = 9,686.87

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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.