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Finding the Fourth Proportional to 16,221.90, 24,319.35 and 6,869.10

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Solution

The fourth proportional to 16,221.90, 24,319.35 and 6,869.10 is: 10,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.90 : 24,319.35 = 6,869.10 : x
  2. Step 2: Convert to fraction form
    16,221.90/24,319.35 = 6,869.10/x
  3. Step 3: Cross multiply
    16,221.90x = 24,319.35 × 6,869.10
  4. Step 4: Simplify right side
    16,221.90x = 167,052,047.09
  5. Step 5: Solve for x
    x = 167,052,047.09/16,221.90
  6. Step 6: Final answer
    x = 10,297.93

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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.