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Finding the Fourth Proportional to 7,570.59, 10,446.11 and 6,958.15

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Solution

The fourth proportional to 7,570.59, 10,446.11 and 6,958.15 is: 9,601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.59 : 10,446.11 = 6,958.15 : x
  2. Step 2: Convert to fraction form
    7,570.59/10,446.11 = 6,958.15/x
  3. Step 3: Cross multiply
    7,570.59x = 10,446.11 × 6,958.15
  4. Step 4: Simplify right side
    7,570.59x = 72,685,663.38
  5. Step 5: Solve for x
    x = 72,685,663.38/7,570.59
  6. Step 6: Final answer
    x = 9,601.06

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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.