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Finding the Fourth Proportional to 9,311.56, 12,848.97 and 5,332.30

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Solution

The fourth proportional to 9,311.56, 12,848.97 and 5,332.30 is: 7,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.56 : 12,848.97 = 5,332.30 : x
  2. Step 2: Convert to fraction form
    9,311.56/12,848.97 = 5,332.30/x
  3. Step 3: Cross multiply
    9,311.56x = 12,848.97 × 5,332.30
  4. Step 4: Simplify right side
    9,311.56x = 68,514,562.73
  5. Step 5: Solve for x
    x = 68,514,562.73/9,311.56
  6. Step 6: Final answer
    x = 7,358.01

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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.