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Finding the Fourth Proportional to 5,764.14, 8,656.65 and 5,301.09

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Solution

The fourth proportional to 5,764.14, 8,656.65 and 5,301.09 is: 7,961.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.14 : 8,656.65 = 5,301.09 : x
  2. Step 2: Convert to fraction form
    5,764.14/8,656.65 = 5,301.09/x
  3. Step 3: Cross multiply
    5,764.14x = 8,656.65 × 5,301.09
  4. Step 4: Simplify right side
    5,764.14x = 45,889,680.75
  5. Step 5: Solve for x
    x = 45,889,680.75/5,764.14
  6. Step 6: Final answer
    x = 7,961.24

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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.