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Finding the Fourth Proportional to 6,572.22, 9,066.76 and 4,447

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Solution

The fourth proportional to 6,572.22, 9,066.76 and 4,447 is: 6,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.22 : 9,066.76 = 4,447 : x
  2. Step 2: Convert to fraction form
    6,572.22/9,066.76 = 4,447/x
  3. Step 3: Cross multiply
    6,572.22x = 9,066.76 × 4,447
  4. Step 4: Simplify right side
    6,572.22x = 40,319,881.72
  5. Step 5: Solve for x
    x = 40,319,881.72/6,572.22
  6. Step 6: Final answer
    x = 6,134.90

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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.