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Finding the Fourth Proportional to 24,305.13, 36,457.71 and 6,775.42

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Solution

The fourth proportional to 24,305.13, 36,457.71 and 6,775.42 is: 10,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305.13 : 36,457.71 = 6,775.42 : x
  2. Step 2: Convert to fraction form
    24,305.13/36,457.71 = 6,775.42/x
  3. Step 3: Cross multiply
    24,305.13x = 36,457.71 × 6,775.42
  4. Step 4: Simplify right side
    24,305.13x = 247,016,297.49
  5. Step 5: Solve for x
    x = 247,016,297.49/24,305.13
  6. Step 6: Final answer
    x = 10,163.13

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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.