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Finding the Fourth Proportional to 24,474.40, 36,703.74 and 7,830.47

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Solution

The fourth proportional to 24,474.40, 36,703.74 and 7,830.47 is: 11,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474.40 : 36,703.74 = 7,830.47 : x
  2. Step 2: Convert to fraction form
    24,474.40/36,703.74 = 7,830.47/x
  3. Step 3: Cross multiply
    24,474.40x = 36,703.74 × 7,830.47
  4. Step 4: Simplify right side
    24,474.40x = 287,407,351.44
  5. Step 5: Solve for x
    x = 287,407,351.44/24,474.40
  6. Step 6: Final answer
    x = 11,743.18

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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.