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Finding the Fourth Proportional to 6,813.49, 10,206.06 and 6,578.50

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Solution

The fourth proportional to 6,813.49, 10,206.06 and 6,578.50 is: 9,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.49 : 10,206.06 = 6,578.50 : x
  2. Step 2: Convert to fraction form
    6,813.49/10,206.06 = 6,578.50/x
  3. Step 3: Cross multiply
    6,813.49x = 10,206.06 × 6,578.50
  4. Step 4: Simplify right side
    6,813.49x = 67,140,565.71
  5. Step 5: Solve for x
    x = 67,140,565.71/6,813.49
  6. Step 6: Final answer
    x = 9,854.06

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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.