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Finding the Fourth Proportional to 6,071.70, 9,110.43 and 4,775.70

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Solution

The fourth proportional to 6,071.70, 9,110.43 and 4,775.70 is: 7,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.70 : 9,110.43 = 4,775.70 : x
  2. Step 2: Convert to fraction form
    6,071.70/9,110.43 = 4,775.70/x
  3. Step 3: Cross multiply
    6,071.70x = 9,110.43 × 4,775.70
  4. Step 4: Simplify right side
    6,071.70x = 43,508,680.55
  5. Step 5: Solve for x
    x = 43,508,680.55/6,071.70
  6. Step 6: Final answer
    x = 7,165.82

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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.