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Finding the Fourth Proportional to 6,703.49, 9,250.75 and 3,719.25

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Solution

The fourth proportional to 6,703.49, 9,250.75 and 3,719.25 is: 5,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.49 : 9,250.75 = 3,719.25 : x
  2. Step 2: Convert to fraction form
    6,703.49/9,250.75 = 3,719.25/x
  3. Step 3: Cross multiply
    6,703.49x = 9,250.75 × 3,719.25
  4. Step 4: Simplify right side
    6,703.49x = 34,405,851.94
  5. Step 5: Solve for x
    x = 34,405,851.94/6,703.49
  6. Step 6: Final answer
    x = 5,132.53

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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.