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Finding the Fourth Proportional to 10,727.76, 14,804.28 and 6,536

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Solution

The fourth proportional to 10,727.76, 14,804.28 and 6,536 is: 9,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.76 : 14,804.28 = 6,536 : x
  2. Step 2: Convert to fraction form
    10,727.76/14,804.28 = 6,536/x
  3. Step 3: Cross multiply
    10,727.76x = 14,804.28 × 6,536
  4. Step 4: Simplify right side
    10,727.76x = 96,760,774.08
  5. Step 5: Solve for x
    x = 96,760,774.08/10,727.76
  6. Step 6: Final answer
    x = 9,019.66

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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.