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Finding the Fourth Proportional to 6,844.05, 9,444.76 and 3,700.24

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Solution

The fourth proportional to 6,844.05, 9,444.76 and 3,700.24 is: 5,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.05 : 9,444.76 = 3,700.24 : x
  2. Step 2: Convert to fraction form
    6,844.05/9,444.76 = 3,700.24/x
  3. Step 3: Cross multiply
    6,844.05x = 9,444.76 × 3,700.24
  4. Step 4: Simplify right side
    6,844.05x = 34,947,878.74
  5. Step 5: Solve for x
    x = 34,947,878.74/6,844.05
  6. Step 6: Final answer
    x = 5,106.32

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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.