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Finding the Fourth Proportional to 7,157.60, 10,735.68 and 1,964.24

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Solution

The fourth proportional to 7,157.60, 10,735.68 and 1,964.24 is: 2,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.60 : 10,735.68 = 1,964.24 : x
  2. Step 2: Convert to fraction form
    7,157.60/10,735.68 = 1,964.24/x
  3. Step 3: Cross multiply
    7,157.60x = 10,735.68 × 1,964.24
  4. Step 4: Simplify right side
    7,157.60x = 21,087,452.08
  5. Step 5: Solve for x
    x = 21,087,452.08/7,157.60
  6. Step 6: Final answer
    x = 2,946.16

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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.