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Finding the Fourth Proportional to 16,230.90, 24,357 and 5,700.66

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Solution

The fourth proportional to 16,230.90, 24,357 and 5,700.66 is: 8,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.90 : 24,357 = 5,700.66 : x
  2. Step 2: Convert to fraction form
    16,230.90/24,357 = 5,700.66/x
  3. Step 3: Cross multiply
    16,230.90x = 24,357 × 5,700.66
  4. Step 4: Simplify right side
    16,230.90x = 138,850,975.62
  5. Step 5: Solve for x
    x = 138,850,975.62/16,230.90
  6. Step 6: Final answer
    x = 8,554.73

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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.