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Finding the Fourth Proportional to 10,693, 14,756.34 and 6,967

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Solution

The fourth proportional to 10,693, 14,756.34 and 6,967 is: 9,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693 : 14,756.34 = 6,967 : x
  2. Step 2: Convert to fraction form
    10,693/14,756.34 = 6,967/x
  3. Step 3: Cross multiply
    10,693x = 14,756.34 × 6,967
  4. Step 4: Simplify right side
    10,693x = 102,807,420.78
  5. Step 5: Solve for x
    x = 102,807,420.78/10,693
  6. Step 6: Final answer
    x = 9,614.46

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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.