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Finding the Fourth Proportional to 23,641.17, 35,464.04 and 7,842.84

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Solution

The fourth proportional to 23,641.17, 35,464.04 and 7,842.84 is: 11,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.17 : 35,464.04 = 7,842.84 : x
  2. Step 2: Convert to fraction form
    23,641.17/35,464.04 = 7,842.84/x
  3. Step 3: Cross multiply
    23,641.17x = 35,464.04 × 7,842.84
  4. Step 4: Simplify right side
    23,641.17x = 278,138,752.26
  5. Step 5: Solve for x
    x = 278,138,752.26/23,641.17
  6. Step 6: Final answer
    x = 11,765.02

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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.