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Finding the Fourth Proportional to 15,240.82, 22,864.06 and 6,921.42

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Solution

The fourth proportional to 15,240.82, 22,864.06 and 6,921.42 is: 10,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,240.82 : 22,864.06 = 6,921.42 : x
  2. Step 2: Convert to fraction form
    15,240.82/22,864.06 = 6,921.42/x
  3. Step 3: Cross multiply
    15,240.82x = 22,864.06 × 6,921.42
  4. Step 4: Simplify right side
    15,240.82x = 158,251,762.17
  5. Step 5: Solve for x
    x = 158,251,762.17/15,240.82
  6. Step 6: Final answer
    x = 10,383.42

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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.