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Finding the Fourth Proportional to 7,002.75, 9,663.80 and 3,859.01

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Solution

The fourth proportional to 7,002.75, 9,663.80 and 3,859.01 is: 5,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.75 : 9,663.80 = 3,859.01 : x
  2. Step 2: Convert to fraction form
    7,002.75/9,663.80 = 3,859.01/x
  3. Step 3: Cross multiply
    7,002.75x = 9,663.80 × 3,859.01
  4. Step 4: Simplify right side
    7,002.75x = 37,292,633.22
  5. Step 5: Solve for x
    x = 37,292,633.22/7,002.75
  6. Step 6: Final answer
    x = 5,325.43

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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.