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Finding the Fourth Proportional to 9,226.34, 12,722.34 and 6,572.78

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Solution

The fourth proportional to 9,226.34, 12,722.34 and 6,572.78 is: 9,063.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.34 : 12,722.34 = 6,572.78 : x
  2. Step 2: Convert to fraction form
    9,226.34/12,722.34 = 6,572.78/x
  3. Step 3: Cross multiply
    9,226.34x = 12,722.34 × 6,572.78
  4. Step 4: Simplify right side
    9,226.34x = 83,621,141.91
  5. Step 5: Solve for x
    x = 83,621,141.91/9,226.34
  6. Step 6: Final answer
    x = 9,063.31

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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.