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Finding the Fourth Proportional to 6,844.14, 9,444.90 and 3,700.32

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Solution

The fourth proportional to 6,844.14, 9,444.90 and 3,700.32 is: 5,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.14 : 9,444.90 = 3,700.32 : x
  2. Step 2: Convert to fraction form
    6,844.14/9,444.90 = 3,700.32/x
  3. Step 3: Cross multiply
    6,844.14x = 9,444.90 × 3,700.32
  4. Step 4: Simplify right side
    6,844.14x = 34,949,152.37
  5. Step 5: Solve for x
    x = 34,949,152.37/6,844.14
  6. Step 6: Final answer
    x = 5,106.43

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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.