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Finding the Fourth Proportional to 8,413.84, 11,527 and 8,098.54

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Solution

The fourth proportional to 8,413.84, 11,527 and 8,098.54 is: 11,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.84 : 11,527 = 8,098.54 : x
  2. Step 2: Convert to fraction form
    8,413.84/11,527 = 8,098.54/x
  3. Step 3: Cross multiply
    8,413.84x = 11,527 × 8,098.54
  4. Step 4: Simplify right side
    8,413.84x = 93,351,870.58
  5. Step 5: Solve for x
    x = 93,351,870.58/8,413.84
  6. Step 6: Final answer
    x = 11,095.04

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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.