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Finding the Fourth Proportional to 8,413.60, 11,526.68 and 8,098.31

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Solution

The fourth proportional to 8,413.60, 11,526.68 and 8,098.31 is: 11,094.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.60 : 11,526.68 = 8,098.31 : x
  2. Step 2: Convert to fraction form
    8,413.60/11,526.68 = 8,098.31/x
  3. Step 3: Cross multiply
    8,413.60x = 11,526.68 × 8,098.31
  4. Step 4: Simplify right side
    8,413.60x = 93,346,627.91
  5. Step 5: Solve for x
    x = 93,346,627.91/8,413.60
  6. Step 6: Final answer
    x = 11,094.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.