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Finding the Fourth Proportional to 16,309.80, 24,473.94 and 6,948.84

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Solution

The fourth proportional to 16,309.80, 24,473.94 and 6,948.84 is: 10,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.80 : 24,473.94 = 6,948.84 : x
  2. Step 2: Convert to fraction form
    16,309.80/24,473.94 = 6,948.84/x
  3. Step 3: Cross multiply
    16,309.80x = 24,473.94 × 6,948.84
  4. Step 4: Simplify right side
    16,309.80x = 170,065,493.23
  5. Step 5: Solve for x
    x = 170,065,493.23/16,309.80
  6. Step 6: Final answer
    x = 10,427.20

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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.