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Finding the Fourth Proportional to 22,828.32, 34,238.16 and 7,246.08

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Solution

The fourth proportional to 22,828.32, 34,238.16 and 7,246.08 is: 10,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,828.32 : 34,238.16 = 7,246.08 : x
  2. Step 2: Convert to fraction form
    22,828.32/34,238.16 = 7,246.08/x
  3. Step 3: Cross multiply
    22,828.32x = 34,238.16 × 7,246.08
  4. Step 4: Simplify right side
    22,828.32x = 248,092,446.41
  5. Step 5: Solve for x
    x = 248,092,446.41/22,828.32
  6. Step 6: Final answer
    x = 10,867.75

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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.