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Finding the Fourth Proportional to 7,044.91, 10,569.12 and 2,114.64

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Solution

The fourth proportional to 7,044.91, 10,569.12 and 2,114.64 is: 3,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.91 : 10,569.12 = 2,114.64 : x
  2. Step 2: Convert to fraction form
    7,044.91/10,569.12 = 2,114.64/x
  3. Step 3: Cross multiply
    7,044.91x = 10,569.12 × 2,114.64
  4. Step 4: Simplify right side
    7,044.91x = 22,349,883.92
  5. Step 5: Solve for x
    x = 22,349,883.92/7,044.91
  6. Step 6: Final answer
    x = 3,172.49

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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.