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Finding the Fourth Proportional to 7,048, 10,572.16 and 2,667.52

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Solution

The fourth proportional to 7,048, 10,572.16 and 2,667.52 is: 4,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048 : 10,572.16 = 2,667.52 : x
  2. Step 2: Convert to fraction form
    7,048/10,572.16 = 2,667.52/x
  3. Step 3: Cross multiply
    7,048x = 10,572.16 × 2,667.52
  4. Step 4: Simplify right side
    7,048x = 28,201,448.24
  5. Step 5: Solve for x
    x = 28,201,448.24/7,048
  6. Step 6: Final answer
    x = 4,001.34

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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.