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Finding the Fourth Proportional to 6,531.52, 9,797.12 and 1,601.12

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Solution

The fourth proportional to 6,531.52, 9,797.12 and 1,601.12 is: 2,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.52 : 9,797.12 = 1,601.12 : x
  2. Step 2: Convert to fraction form
    6,531.52/9,797.12 = 1,601.12/x
  3. Step 3: Cross multiply
    6,531.52x = 9,797.12 × 1,601.12
  4. Step 4: Simplify right side
    6,531.52x = 15,686,364.77
  5. Step 5: Solve for x
    x = 15,686,364.77/6,531.52
  6. Step 6: Final answer
    x = 2,401.64

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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.