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Finding the Fourth Proportional to 6,553.84, 9,044.22 and 3,569.65

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Solution

The fourth proportional to 6,553.84, 9,044.22 and 3,569.65 is: 4,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.84 : 9,044.22 = 3,569.65 : x
  2. Step 2: Convert to fraction form
    6,553.84/9,044.22 = 3,569.65/x
  3. Step 3: Cross multiply
    6,553.84x = 9,044.22 × 3,569.65
  4. Step 4: Simplify right side
    6,553.84x = 32,284,699.92
  5. Step 5: Solve for x
    x = 32,284,699.92/6,553.84
  6. Step 6: Final answer
    x = 4,926.07

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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.