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Finding the Fourth Proportional to 9,760.70, 14,612.70 and 7,306.40

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Solution

The fourth proportional to 9,760.70, 14,612.70 and 7,306.40 is: 10,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.70 : 14,612.70 = 7,306.40 : x
  2. Step 2: Convert to fraction form
    9,760.70/14,612.70 = 7,306.40/x
  3. Step 3: Cross multiply
    9,760.70x = 14,612.70 × 7,306.40
  4. Step 4: Simplify right side
    9,760.70x = 106,766,231.28
  5. Step 5: Solve for x
    x = 106,766,231.28/9,760.70
  6. Step 6: Final answer
    x = 10,938.38

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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.