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Finding the Fourth Proportional to 10,697.38, 14,759.48 and 6,502.66

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Solution

The fourth proportional to 10,697.38, 14,759.48 and 6,502.66 is: 8,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.38 : 14,759.48 = 6,502.66 : x
  2. Step 2: Convert to fraction form
    10,697.38/14,759.48 = 6,502.66/x
  3. Step 3: Cross multiply
    10,697.38x = 14,759.48 × 6,502.66
  4. Step 4: Simplify right side
    10,697.38x = 95,975,880.22
  5. Step 5: Solve for x
    x = 95,975,880.22/10,697.38
  6. Step 6: Final answer
    x = 8,971.91

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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.