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Finding the Fourth Proportional to 25,494.49, 38,247.14 and 7,965.64

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Solution

The fourth proportional to 25,494.49, 38,247.14 and 7,965.64 is: 11,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.49 : 38,247.14 = 7,965.64 : x
  2. Step 2: Convert to fraction form
    25,494.49/38,247.14 = 7,965.64/x
  3. Step 3: Cross multiply
    25,494.49x = 38,247.14 × 7,965.64
  4. Step 4: Simplify right side
    25,494.49x = 304,662,948.27
  5. Step 5: Solve for x
    x = 304,662,948.27/25,494.49
  6. Step 6: Final answer
    x = 11,950.15

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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.