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Finding the Fourth Proportional to 10,663.74, 14,723.22 and 6,896.02

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Solution

The fourth proportional to 10,663.74, 14,723.22 and 6,896.02 is: 9,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.74 : 14,723.22 = 6,896.02 : x
  2. Step 2: Convert to fraction form
    10,663.74/14,723.22 = 6,896.02/x
  3. Step 3: Cross multiply
    10,663.74x = 14,723.22 × 6,896.02
  4. Step 4: Simplify right side
    10,663.74x = 101,531,619.58
  5. Step 5: Solve for x
    x = 101,531,619.58/10,663.74
  6. Step 6: Final answer
    x = 9,521.20

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1.5x scale

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.