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Finding the Fourth Proportional to 6,352.62, 9,530.82 and 1,970.70

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Solution

The fourth proportional to 6,352.62, 9,530.82 and 1,970.70 is: 2,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.62 : 9,530.82 = 1,970.70 : x
  2. Step 2: Convert to fraction form
    6,352.62/9,530.82 = 1,970.70/x
  3. Step 3: Cross multiply
    6,352.62x = 9,530.82 × 1,970.70
  4. Step 4: Simplify right side
    6,352.62x = 18,782,386.97
  5. Step 5: Solve for x
    x = 18,782,386.97/6,352.62
  6. Step 6: Final answer
    x = 2,956.64

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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.