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Finding the Fourth Proportional to 6,177.55, 9,264.15 and 1,794.10

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Solution

The fourth proportional to 6,177.55, 9,264.15 and 1,794.10 is: 2,690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.55 : 9,264.15 = 1,794.10 : x
  2. Step 2: Convert to fraction form
    6,177.55/9,264.15 = 1,794.10/x
  3. Step 3: Cross multiply
    6,177.55x = 9,264.15 × 1,794.10
  4. Step 4: Simplify right side
    6,177.55x = 16,620,811.52
  5. Step 5: Solve for x
    x = 16,620,811.52/6,177.55
  6. Step 6: Final answer
    x = 2,690.52

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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.