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Finding the Fourth Proportional to 5,713.96, 8,569.98 and 1,609

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Solution

The fourth proportional to 5,713.96, 8,569.98 and 1,609 is: 2,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.96 : 8,569.98 = 1,609 : x
  2. Step 2: Convert to fraction form
    5,713.96/8,569.98 = 1,609/x
  3. Step 3: Cross multiply
    5,713.96x = 8,569.98 × 1,609
  4. Step 4: Simplify right side
    5,713.96x = 13,789,097.82
  5. Step 5: Solve for x
    x = 13,789,097.82/5,713.96
  6. Step 6: Final answer
    x = 2,413.23

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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.