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Finding the Fourth Proportional to 6,209.61, 9,315.71 and 1,826.70

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Solution

The fourth proportional to 6,209.61, 9,315.71 and 1,826.70 is: 2,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.61 : 9,315.71 = 1,826.70 : x
  2. Step 2: Convert to fraction form
    6,209.61/9,315.71 = 1,826.70/x
  3. Step 3: Cross multiply
    6,209.61x = 9,315.71 × 1,826.70
  4. Step 4: Simplify right side
    6,209.61x = 17,016,965.45
  5. Step 5: Solve for x
    x = 17,016,965.45/6,209.61
  6. Step 6: Final answer
    x = 2,740.43

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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.