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Finding the Fourth Proportional to 25,816.40, 38,717.88 and 8,277.20

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Solution

The fourth proportional to 25,816.40, 38,717.88 and 8,277.20 is: 12,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,816.40 : 38,717.88 = 8,277.20 : x
  2. Step 2: Convert to fraction form
    25,816.40/38,717.88 = 8,277.20/x
  3. Step 3: Cross multiply
    25,816.40x = 38,717.88 × 8,277.20
  4. Step 4: Simplify right side
    25,816.40x = 320,475,636.34
  5. Step 5: Solve for x
    x = 320,475,636.34/25,816.40
  6. Step 6: Final answer
    x = 12,413.65

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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.