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Finding the Fourth Proportional to 10,601.58, 15,872.13 and 8,413.50

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Solution

The fourth proportional to 10,601.58, 15,872.13 and 8,413.50 is: 12,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.58 : 15,872.13 = 8,413.50 : x
  2. Step 2: Convert to fraction form
    10,601.58/15,872.13 = 8,413.50/x
  3. Step 3: Cross multiply
    10,601.58x = 15,872.13 × 8,413.50
  4. Step 4: Simplify right side
    10,601.58x = 133,540,165.76
  5. Step 5: Solve for x
    x = 133,540,165.76/10,601.58
  6. Step 6: Final answer
    x = 12,596.25

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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.