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Finding the Fourth Proportional to 6,844.03, 9,444.75 and 3,700.22

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Solution

The fourth proportional to 6,844.03, 9,444.75 and 3,700.22 is: 5,106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.03 : 9,444.75 = 3,700.22 : x
  2. Step 2: Convert to fraction form
    6,844.03/9,444.75 = 3,700.22/x
  3. Step 3: Cross multiply
    6,844.03x = 9,444.75 × 3,700.22
  4. Step 4: Simplify right side
    6,844.03x = 34,947,627.16
  5. Step 5: Solve for x
    x = 34,947,627.16/6,844.03
  6. Step 6: Final answer
    x = 5,106.29

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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.