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Finding the Fourth Proportional to 25,364.64, 38,046.68 and 7,832.48

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Solution

The fourth proportional to 25,364.64, 38,046.68 and 7,832.48 is: 11,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.64 : 38,046.68 = 7,832.48 : x
  2. Step 2: Convert to fraction form
    25,364.64/38,046.68 = 7,832.48/x
  3. Step 3: Cross multiply
    25,364.64x = 38,046.68 × 7,832.48
  4. Step 4: Simplify right side
    25,364.64x = 297,999,860.17
  5. Step 5: Solve for x
    x = 297,999,860.17/25,364.64
  6. Step 6: Final answer
    x = 11,748.63

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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.