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Finding the Fourth Proportional to 25,296.42, 37,948.74 and 9,502.68

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Solution

The fourth proportional to 25,296.42, 37,948.74 and 9,502.68 is: 14,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296.42 : 37,948.74 = 9,502.68 : x
  2. Step 2: Convert to fraction form
    25,296.42/37,948.74 = 9,502.68/x
  3. Step 3: Cross multiply
    25,296.42x = 37,948.74 × 9,502.68
  4. Step 4: Simplify right side
    25,296.42x = 360,614,732.62
  5. Step 5: Solve for x
    x = 360,614,732.62/25,296.42
  6. Step 6: Final answer
    x = 14,255.56

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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.