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Finding the Fourth Proportional to 16,569.75, 24,854.64 and 4,257.75

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Solution

The fourth proportional to 16,569.75, 24,854.64 and 4,257.75 is: 6,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.75 : 24,854.64 = 4,257.75 : x
  2. Step 2: Convert to fraction form
    16,569.75/24,854.64 = 4,257.75/x
  3. Step 3: Cross multiply
    16,569.75x = 24,854.64 × 4,257.75
  4. Step 4: Simplify right side
    16,569.75x = 105,824,843.46
  5. Step 5: Solve for x
    x = 105,824,843.46/16,569.75
  6. Step 6: Final answer
    x = 6,386.63

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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.