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Finding the Fourth Proportional to 24,649.67, 36,980.35 and 8,009.71

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Solution

The fourth proportional to 24,649.67, 36,980.35 and 8,009.71 is: 12,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.67 : 36,980.35 = 8,009.71 : x
  2. Step 2: Convert to fraction form
    24,649.67/36,980.35 = 8,009.71/x
  3. Step 3: Cross multiply
    24,649.67x = 36,980.35 × 8,009.71
  4. Step 4: Simplify right side
    24,649.67x = 296,201,766.72
  5. Step 5: Solve for x
    x = 296,201,766.72/24,649.67
  6. Step 6: Final answer
    x = 12,016.46

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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.