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Finding the Fourth Proportional to 6,937.49, 9,574.13 and 3,954.31

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Solution

The fourth proportional to 6,937.49, 9,574.13 and 3,954.31 is: 5,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.49 : 9,574.13 = 3,954.31 : x
  2. Step 2: Convert to fraction form
    6,937.49/9,574.13 = 3,954.31/x
  3. Step 3: Cross multiply
    6,937.49x = 9,574.13 × 3,954.31
  4. Step 4: Simplify right side
    6,937.49x = 37,859,063.95
  5. Step 5: Solve for x
    x = 37,859,063.95/6,937.49
  6. Step 6: Final answer
    x = 5,457.17

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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.