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Finding the Fourth Proportional to 6,178.80, 9,268.20 and 1,561.80

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Solution

The fourth proportional to 6,178.80, 9,268.20 and 1,561.80 is: 2,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.80 : 9,268.20 = 1,561.80 : x
  2. Step 2: Convert to fraction form
    6,178.80/9,268.20 = 1,561.80/x
  3. Step 3: Cross multiply
    6,178.80x = 9,268.20 × 1,561.80
  4. Step 4: Simplify right side
    6,178.80x = 14,475,074.76
  5. Step 5: Solve for x
    x = 14,475,074.76/6,178.80
  6. Step 6: Final answer
    x = 2,342.70

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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.