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Finding the Fourth Proportional to 24,309.86, 36,470.93 and 6,779.68

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Solution

The fourth proportional to 24,309.86, 36,470.93 and 6,779.68 is: 10,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.86 : 36,470.93 = 6,779.68 : x
  2. Step 2: Convert to fraction form
    24,309.86/36,470.93 = 6,779.68/x
  3. Step 3: Cross multiply
    24,309.86x = 36,470.93 × 6,779.68
  4. Step 4: Simplify right side
    24,309.86x = 247,261,109.63
  5. Step 5: Solve for x
    x = 247,261,109.63/24,309.86
  6. Step 6: Final answer
    x = 10,171.23

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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.