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Finding the Fourth Proportional to 6,807.88, 10,209.39 and 2,364.40

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Solution

The fourth proportional to 6,807.88, 10,209.39 and 2,364.40 is: 3,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.88 : 10,209.39 = 2,364.40 : x
  2. Step 2: Convert to fraction form
    6,807.88/10,209.39 = 2,364.40/x
  3. Step 3: Cross multiply
    6,807.88x = 10,209.39 × 2,364.40
  4. Step 4: Simplify right side
    6,807.88x = 24,139,081.72
  5. Step 5: Solve for x
    x = 24,139,081.72/6,807.88
  6. Step 6: Final answer
    x = 3,545.76

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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.