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Finding the Fourth Proportional to 22,983.36, 34,475.04 and 6,342.84

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Solution

The fourth proportional to 22,983.36, 34,475.04 and 6,342.84 is: 9,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.36 : 34,475.04 = 6,342.84 : x
  2. Step 2: Convert to fraction form
    22,983.36/34,475.04 = 6,342.84/x
  3. Step 3: Cross multiply
    22,983.36x = 34,475.04 × 6,342.84
  4. Step 4: Simplify right side
    22,983.36x = 218,669,662.71
  5. Step 5: Solve for x
    x = 218,669,662.71/22,983.36
  6. Step 6: Final answer
    x = 9,514.26

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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.