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Finding the Fourth Proportional to 9,502.78, 14,254.75 and 3,659.39

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Solution

The fourth proportional to 9,502.78, 14,254.75 and 3,659.39 is: 5,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.78 : 14,254.75 = 3,659.39 : x
  2. Step 2: Convert to fraction form
    9,502.78/14,254.75 = 3,659.39/x
  3. Step 3: Cross multiply
    9,502.78x = 14,254.75 × 3,659.39
  4. Step 4: Simplify right side
    9,502.78x = 52,163,729.81
  5. Step 5: Solve for x
    x = 52,163,729.81/9,502.78
  6. Step 6: Final answer
    x = 5,489.31

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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.