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Finding the Fourth Proportional to 6,937.49, 10,407.14 and 3,650.74

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Solution

The fourth proportional to 6,937.49, 10,407.14 and 3,650.74 is: 5,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.49 : 10,407.14 = 3,650.74 : x
  2. Step 2: Convert to fraction form
    6,937.49/10,407.14 = 3,650.74/x
  3. Step 3: Cross multiply
    6,937.49x = 10,407.14 × 3,650.74
  4. Step 4: Simplify right side
    6,937.49x = 37,993,762.28
  5. Step 5: Solve for x
    x = 37,993,762.28/6,937.49
  6. Step 6: Final answer
    x = 5,476.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.