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Finding the Fourth Proportional to 5,805.96, 8,707.14 and 1,909.50

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Solution

The fourth proportional to 5,805.96, 8,707.14 and 1,909.50 is: 2,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.96 : 8,707.14 = 1,909.50 : x
  2. Step 2: Convert to fraction form
    5,805.96/8,707.14 = 1,909.50/x
  3. Step 3: Cross multiply
    5,805.96x = 8,707.14 × 1,909.50
  4. Step 4: Simplify right side
    5,805.96x = 16,626,283.83
  5. Step 5: Solve for x
    x = 16,626,283.83/5,805.96
  6. Step 6: Final answer
    x = 2,863.66

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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.