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Finding the Fourth Proportional to 6,813.66, 10,206.66 and 6,246.66

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Solution

The fourth proportional to 6,813.66, 10,206.66 and 6,246.66 is: 9,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.66 : 10,206.66 = 6,246.66 : x
  2. Step 2: Convert to fraction form
    6,813.66/10,206.66 = 6,246.66/x
  3. Step 3: Cross multiply
    6,813.66x = 10,206.66 × 6,246.66
  4. Step 4: Simplify right side
    6,813.66x = 63,757,534.76
  5. Step 5: Solve for x
    x = 63,757,534.76/6,813.66
  6. Step 6: Final answer
    x = 9,357.31

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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.