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Finding the Fourth Proportional to 6,413.65, 9,607.92 and 5,717.05

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Solution

The fourth proportional to 6,413.65, 9,607.92 and 5,717.05 is: 8,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.65 : 9,607.92 = 5,717.05 : x
  2. Step 2: Convert to fraction form
    6,413.65/9,607.92 = 5,717.05/x
  3. Step 3: Cross multiply
    6,413.65x = 9,607.92 × 5,717.05
  4. Step 4: Simplify right side
    6,413.65x = 54,928,959.04
  5. Step 5: Solve for x
    x = 54,928,959.04/6,413.65
  6. Step 6: Final answer
    x = 8,564.38

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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.