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Finding the Fourth Proportional to 7,306.88, 10,968.12 and 3,148.94

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Solution

The fourth proportional to 7,306.88, 10,968.12 and 3,148.94 is: 4,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.88 : 10,968.12 = 3,148.94 : x
  2. Step 2: Convert to fraction form
    7,306.88/10,968.12 = 3,148.94/x
  3. Step 3: Cross multiply
    7,306.88x = 10,968.12 × 3,148.94
  4. Step 4: Simplify right side
    7,306.88x = 34,537,951.79
  5. Step 5: Solve for x
    x = 34,537,951.79/7,306.88
  6. Step 6: Final answer
    x = 4,726.77

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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.