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Finding the Fourth Proportional to 6,938.13, 9,574.62 and 3,794.32

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Solution

The fourth proportional to 6,938.13, 9,574.62 and 3,794.32 is: 5,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.13 : 9,574.62 = 3,794.32 : x
  2. Step 2: Convert to fraction form
    6,938.13/9,574.62 = 3,794.32/x
  3. Step 3: Cross multiply
    6,938.13x = 9,574.62 × 3,794.32
  4. Step 4: Simplify right side
    6,938.13x = 36,329,172.16
  5. Step 5: Solve for x
    x = 36,329,172.16/6,938.13
  6. Step 6: Final answer
    x = 5,236.17

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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.