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Finding the Fourth Proportional to 25,959.36, 38,948.09 and 8,192.76

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Solution

The fourth proportional to 25,959.36, 38,948.09 and 8,192.76 is: 12,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,959.36 : 38,948.09 = 8,192.76 : x
  2. Step 2: Convert to fraction form
    25,959.36/38,948.09 = 8,192.76/x
  3. Step 3: Cross multiply
    25,959.36x = 38,948.09 × 8,192.76
  4. Step 4: Simplify right side
    25,959.36x = 319,092,312.86
  5. Step 5: Solve for x
    x = 319,092,312.86/25,959.36
  6. Step 6: Final answer
    x = 12,291.99

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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.