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Finding the Fourth Proportional to 22,852.84, 34,275.42 and 6,433

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Solution

The fourth proportional to 22,852.84, 34,275.42 and 6,433 is: 9,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.84 : 34,275.42 = 6,433 : x
  2. Step 2: Convert to fraction form
    22,852.84/34,275.42 = 6,433/x
  3. Step 3: Cross multiply
    22,852.84x = 34,275.42 × 6,433
  4. Step 4: Simplify right side
    22,852.84x = 220,493,776.86
  5. Step 5: Solve for x
    x = 220,493,776.86/22,852.84
  6. Step 6: Final answer
    x = 9,648.42

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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.