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Finding the Fourth Proportional to 9,512.78, 14,268.78 and 2,492.68

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Solution

The fourth proportional to 9,512.78, 14,268.78 and 2,492.68 is: 3,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.78 : 14,268.78 = 2,492.68 : x
  2. Step 2: Convert to fraction form
    9,512.78/14,268.78 = 2,492.68/x
  3. Step 3: Cross multiply
    9,512.78x = 14,268.78 × 2,492.68
  4. Step 4: Simplify right side
    9,512.78x = 35,567,502.53
  5. Step 5: Solve for x
    x = 35,567,502.53/9,512.78
  6. Step 6: Final answer
    x = 3,738.92

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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.