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Finding the Fourth Proportional to 6,530.52, 9,797.40 and 1,913.52

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Solution

The fourth proportional to 6,530.52, 9,797.40 and 1,913.52 is: 2,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.52 : 9,797.40 = 1,913.52 : x
  2. Step 2: Convert to fraction form
    6,530.52/9,797.40 = 1,913.52/x
  3. Step 3: Cross multiply
    6,530.52x = 9,797.40 × 1,913.52
  4. Step 4: Simplify right side
    6,530.52x = 18,747,520.85
  5. Step 5: Solve for x
    x = 18,747,520.85/6,530.52
  6. Step 6: Final answer
    x = 2,870.75

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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.