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Finding the Fourth Proportional to 7,002.37, 9,663.23 and 3,815.66

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Solution

The fourth proportional to 7,002.37, 9,663.23 and 3,815.66 is: 5,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.37 : 9,663.23 = 3,815.66 : x
  2. Step 2: Convert to fraction form
    7,002.37/9,663.23 = 3,815.66/x
  3. Step 3: Cross multiply
    7,002.37x = 9,663.23 × 3,815.66
  4. Step 4: Simplify right side
    7,002.37x = 36,871,600.18
  5. Step 5: Solve for x
    x = 36,871,600.18/7,002.37
  6. Step 6: Final answer
    x = 5,265.59

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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.