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Finding the Fourth Proportional to 16,594.40, 24,904.56 and 6,209.12

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Solution

The fourth proportional to 16,594.40, 24,904.56 and 6,209.12 is: 9,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.40 : 24,904.56 = 6,209.12 : x
  2. Step 2: Convert to fraction form
    16,594.40/24,904.56 = 6,209.12/x
  3. Step 3: Cross multiply
    16,594.40x = 24,904.56 × 6,209.12
  4. Step 4: Simplify right side
    16,594.40x = 154,635,401.59
  5. Step 5: Solve for x
    x = 154,635,401.59/16,594.40
  6. Step 6: Final answer
    x = 9,318.53

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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.