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Finding the Fourth Proportional to 5,209.86, 7,191.81 and 5,069.46

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Solution

The fourth proportional to 5,209.86, 7,191.81 and 5,069.46 is: 6,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.86 : 7,191.81 = 5,069.46 : x
  2. Step 2: Convert to fraction form
    5,209.86/7,191.81 = 5,069.46/x
  3. Step 3: Cross multiply
    5,209.86x = 7,191.81 × 5,069.46
  4. Step 4: Simplify right side
    5,209.86x = 36,458,593.12
  5. Step 5: Solve for x
    x = 36,458,593.12/5,209.86
  6. Step 6: Final answer
    x = 6,998.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.