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Finding the Fourth Proportional to 24,482.26, 36,724.26 and 7,840.13

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Solution

The fourth proportional to 24,482.26, 36,724.26 and 7,840.13 is: 11,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482.26 : 36,724.26 = 7,840.13 : x
  2. Step 2: Convert to fraction form
    24,482.26/36,724.26 = 7,840.13/x
  3. Step 3: Cross multiply
    24,482.26x = 36,724.26 × 7,840.13
  4. Step 4: Simplify right side
    24,482.26x = 287,922,992.15
  5. Step 5: Solve for x
    x = 287,922,992.15/24,482.26
  6. Step 6: Final answer
    x = 11,760.47

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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.