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Finding the Fourth Proportional to 10,693.56, 14,759.64 and 6,501

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Solution

The fourth proportional to 10,693.56, 14,759.64 and 6,501 is: 8,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.56 : 14,759.64 = 6,501 : x
  2. Step 2: Convert to fraction form
    10,693.56/14,759.64 = 6,501/x
  3. Step 3: Cross multiply
    10,693.56x = 14,759.64 × 6,501
  4. Step 4: Simplify right side
    10,693.56x = 95,952,419.64
  5. Step 5: Solve for x
    x = 95,952,419.64/10,693.56
  6. Step 6: Final answer
    x = 8,972.92

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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.