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Finding the Fourth Proportional to 5,969.13, 8,291.40 and 5,873.78

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Solution

The fourth proportional to 5,969.13, 8,291.40 and 5,873.78 is: 8,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.13 : 8,291.40 = 5,873.78 : x
  2. Step 2: Convert to fraction form
    5,969.13/8,291.40 = 5,873.78/x
  3. Step 3: Cross multiply
    5,969.13x = 8,291.40 × 5,873.78
  4. Step 4: Simplify right side
    5,969.13x = 48,701,858.19
  5. Step 5: Solve for x
    x = 48,701,858.19/5,969.13
  6. Step 6: Final answer
    x = 8,158.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.