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Finding the Fourth Proportional to 8,306, 11,462.28 and 4,580.24

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Solution

The fourth proportional to 8,306, 11,462.28 and 4,580.24 is: 6,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306 : 11,462.28 = 4,580.24 : x
  2. Step 2: Convert to fraction form
    8,306/11,462.28 = 4,580.24/x
  3. Step 3: Cross multiply
    8,306x = 11,462.28 × 4,580.24
  4. Step 4: Simplify right side
    8,306x = 52,499,993.35
  5. Step 5: Solve for x
    x = 52,499,993.35/8,306
  6. Step 6: Final answer
    x = 6,320.73

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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.