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Finding the Fourth Proportional to 6,776.46, 9,266.13 and 6,776.46

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Solution

The fourth proportional to 6,776.46, 9,266.13 and 6,776.46 is: 9,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.46 : 9,266.13 = 6,776.46 : x
  2. Step 2: Convert to fraction form
    6,776.46/9,266.13 = 6,776.46/x
  3. Step 3: Cross multiply
    6,776.46x = 9,266.13 × 6,776.46
  4. Step 4: Simplify right side
    6,776.46x = 62,791,559.30
  5. Step 5: Solve for x
    x = 62,791,559.30/6,776.46
  6. Step 6: Final answer
    x = 9,266.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.