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Finding the Fourth Proportional to 7,570.70, 10,442.68 and 4,885.34

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Solution

The fourth proportional to 7,570.70, 10,442.68 and 4,885.34 is: 6,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.70 : 10,442.68 = 4,885.34 : x
  2. Step 2: Convert to fraction form
    7,570.70/10,442.68 = 4,885.34/x
  3. Step 3: Cross multiply
    7,570.70x = 10,442.68 × 4,885.34
  4. Step 4: Simplify right side
    7,570.70x = 51,016,042.31
  5. Step 5: Solve for x
    x = 51,016,042.31/7,570.70
  6. Step 6: Final answer
    x = 6,738.62

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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.