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Finding the Fourth Proportional to 7,662.77, 11,546.31 and 6,306.53

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Solution

The fourth proportional to 7,662.77, 11,546.31 and 6,306.53 is: 9,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.77 : 11,546.31 = 6,306.53 : x
  2. Step 2: Convert to fraction form
    7,662.77/11,546.31 = 6,306.53/x
  3. Step 3: Cross multiply
    7,662.77x = 11,546.31 × 6,306.53
  4. Step 4: Simplify right side
    7,662.77x = 72,817,116.32
  5. Step 5: Solve for x
    x = 72,817,116.32/7,662.77
  6. Step 6: Final answer
    x = 9,502.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.