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Finding the Fourth Proportional to 16,459.50, 24,689.25 and 4,147.50

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Solution

The fourth proportional to 16,459.50, 24,689.25 and 4,147.50 is: 6,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.50 : 24,689.25 = 4,147.50 : x
  2. Step 2: Convert to fraction form
    16,459.50/24,689.25 = 4,147.50/x
  3. Step 3: Cross multiply
    16,459.50x = 24,689.25 × 4,147.50
  4. Step 4: Simplify right side
    16,459.50x = 102,398,664.38
  5. Step 5: Solve for x
    x = 102,398,664.38/16,459.50
  6. Step 6: Final answer
    x = 6,221.25

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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.