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Finding the Fourth Proportional to 8,005.59, 11,047.10 and 4,647.86

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Solution

The fourth proportional to 8,005.59, 11,047.10 and 4,647.86 is: 6,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.59 : 11,047.10 = 4,647.86 : x
  2. Step 2: Convert to fraction form
    8,005.59/11,047.10 = 4,647.86/x
  3. Step 3: Cross multiply
    8,005.59x = 11,047.10 × 4,647.86
  4. Step 4: Simplify right side
    8,005.59x = 51,345,295.73
  5. Step 5: Solve for x
    x = 51,345,295.73/8,005.59
  6. Step 6: Final answer
    x = 6,413.68

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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.