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Finding the Fourth Proportional to 8,595.78, 11,867.70 and 5,413.41

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Solution

The fourth proportional to 8,595.78, 11,867.70 and 5,413.41 is: 7,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595.78 : 11,867.70 = 5,413.41 : x
  2. Step 2: Convert to fraction form
    8,595.78/11,867.70 = 5,413.41/x
  3. Step 3: Cross multiply
    8,595.78x = 11,867.70 × 5,413.41
  4. Step 4: Simplify right side
    8,595.78x = 64,244,725.86
  5. Step 5: Solve for x
    x = 64,244,725.86/8,595.78
  6. Step 6: Final answer
    x = 7,473.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.