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Finding the Fourth Proportional to 10,104.41, 13,944.74 and 6,955.13

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Solution

The fourth proportional to 10,104.41, 13,944.74 and 6,955.13 is: 9,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.41 : 13,944.74 = 6,955.13 : x
  2. Step 2: Convert to fraction form
    10,104.41/13,944.74 = 6,955.13/x
  3. Step 3: Cross multiply
    10,104.41x = 13,944.74 × 6,955.13
  4. Step 4: Simplify right side
    10,104.41x = 96,987,375.02
  5. Step 5: Solve for x
    x = 96,987,375.02/10,104.41
  6. Step 6: Final answer
    x = 9,598.52

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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.