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Finding the Fourth Proportional to 16,645.95, 24,968.07 and 6,115.16

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Solution

The fourth proportional to 16,645.95, 24,968.07 and 6,115.16 is: 9,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.95 : 24,968.07 = 6,115.16 : x
  2. Step 2: Convert to fraction form
    16,645.95/24,968.07 = 6,115.16/x
  3. Step 3: Cross multiply
    16,645.95x = 24,968.07 × 6,115.16
  4. Step 4: Simplify right side
    16,645.95x = 152,683,742.94
  5. Step 5: Solve for x
    x = 152,683,742.94/16,645.95
  6. Step 6: Final answer
    x = 9,172.43

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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.