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Finding the Fourth Proportional to 5,886.69, 8,829.50 and 1,991.13

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Solution

The fourth proportional to 5,886.69, 8,829.50 and 1,991.13 is: 2,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.69 : 8,829.50 = 1,991.13 : x
  2. Step 2: Convert to fraction form
    5,886.69/8,829.50 = 1,991.13/x
  3. Step 3: Cross multiply
    5,886.69x = 8,829.50 × 1,991.13
  4. Step 4: Simplify right side
    5,886.69x = 17,580,672.38
  5. Step 5: Solve for x
    x = 17,580,672.38/5,886.69
  6. Step 6: Final answer
    x = 2,986.51

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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.