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Finding the Fourth Proportional to 6,572.34, 9,070.65 and 4,213.62

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Solution

The fourth proportional to 6,572.34, 9,070.65 and 4,213.62 is: 5,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.34 : 9,070.65 = 4,213.62 : x
  2. Step 2: Convert to fraction form
    6,572.34/9,070.65 = 4,213.62/x
  3. Step 3: Cross multiply
    6,572.34x = 9,070.65 × 4,213.62
  4. Step 4: Simplify right side
    6,572.34x = 38,220,272.25
  5. Step 5: Solve for x
    x = 38,220,272.25/6,572.34
  6. Step 6: Final answer
    x = 5,815.32

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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.