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Finding the Fourth Proportional to 6,652.40, 9,966.45 and 5,413.10

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Solution

The fourth proportional to 6,652.40, 9,966.45 and 5,413.10 is: 8,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.40 : 9,966.45 = 5,413.10 : x
  2. Step 2: Convert to fraction form
    6,652.40/9,966.45 = 5,413.10/x
  3. Step 3: Cross multiply
    6,652.40x = 9,966.45 × 5,413.10
  4. Step 4: Simplify right side
    6,652.40x = 53,949,390.50
  5. Step 5: Solve for x
    x = 53,949,390.50/6,652.40
  6. Step 6: Final answer
    x = 8,109.76

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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.