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Finding the Fourth Proportional to 6,353.88, 9,530.52 and 1,970.76

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Solution

The fourth proportional to 6,353.88, 9,530.52 and 1,970.76 is: 2,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.88 : 9,530.52 = 1,970.76 : x
  2. Step 2: Convert to fraction form
    6,353.88/9,530.52 = 1,970.76/x
  3. Step 3: Cross multiply
    6,353.88x = 9,530.52 × 1,970.76
  4. Step 4: Simplify right side
    6,353.88x = 18,782,367.60
  5. Step 5: Solve for x
    x = 18,782,367.60/6,353.88
  6. Step 6: Final answer
    x = 2,956.05

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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.