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Finding the Fourth Proportional to 8,306.40, 11,462.40 and 5,162.52

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Solution

The fourth proportional to 8,306.40, 11,462.40 and 5,162.52 is: 7,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.40 : 11,462.40 = 5,162.52 : x
  2. Step 2: Convert to fraction form
    8,306.40/11,462.40 = 5,162.52/x
  3. Step 3: Cross multiply
    8,306.40x = 11,462.40 × 5,162.52
  4. Step 4: Simplify right side
    8,306.40x = 59,174,869.25
  5. Step 5: Solve for x
    x = 59,174,869.25/8,306.40
  6. Step 6: Final answer
    x = 7,124.01

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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.