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Finding the Fourth Proportional to 6,476.94, 9,713.52 and 3,703.10

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Solution

The fourth proportional to 6,476.94, 9,713.52 and 3,703.10 is: 5,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.94 : 9,713.52 = 3,703.10 : x
  2. Step 2: Convert to fraction form
    6,476.94/9,713.52 = 3,703.10/x
  3. Step 3: Cross multiply
    6,476.94x = 9,713.52 × 3,703.10
  4. Step 4: Simplify right side
    6,476.94x = 35,970,135.91
  5. Step 5: Solve for x
    x = 35,970,135.91/6,476.94
  6. Step 6: Final answer
    x = 5,553.57

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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.