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Finding the Fourth Proportional to 10,062.14, 13,887.34 and 9,619.16

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Solution

The fourth proportional to 10,062.14, 13,887.34 and 9,619.16 is: 13,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.14 : 13,887.34 = 9,619.16 : x
  2. Step 2: Convert to fraction form
    10,062.14/13,887.34 = 9,619.16/x
  3. Step 3: Cross multiply
    10,062.14x = 13,887.34 × 9,619.16
  4. Step 4: Simplify right side
    10,062.14x = 133,584,451.95
  5. Step 5: Solve for x
    x = 133,584,451.95/10,062.14
  6. Step 6: Final answer
    x = 13,275.96

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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.