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Finding the Fourth Proportional to 9,642.67, 13,306.94 and 5,611.89

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Solution

The fourth proportional to 9,642.67, 13,306.94 and 5,611.89 is: 7,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.67 : 13,306.94 = 5,611.89 : x
  2. Step 2: Convert to fraction form
    9,642.67/13,306.94 = 5,611.89/x
  3. Step 3: Cross multiply
    9,642.67x = 13,306.94 × 5,611.89
  4. Step 4: Simplify right side
    9,642.67x = 74,676,988.92
  5. Step 5: Solve for x
    x = 74,676,988.92/9,642.67
  6. Step 6: Final answer
    x = 7,744.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.