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Finding the Fourth Proportional to 25,969.48, 38,957.98 and 8,194.10

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Solution

The fourth proportional to 25,969.48, 38,957.98 and 8,194.10 is: 12,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,969.48 : 38,957.98 = 8,194.10 : x
  2. Step 2: Convert to fraction form
    25,969.48/38,957.98 = 8,194.10/x
  3. Step 3: Cross multiply
    25,969.48x = 38,957.98 × 8,194.10
  4. Step 4: Simplify right side
    25,969.48x = 319,225,660.83
  5. Step 5: Solve for x
    x = 319,225,660.83/25,969.48
  6. Step 6: Final answer
    x = 12,292.34

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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.