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Finding the Fourth Proportional to 6,509, 9,760.44 and 2,808.92

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Solution

The fourth proportional to 6,509, 9,760.44 and 2,808.92 is: 4,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509 : 9,760.44 = 2,808.92 : x
  2. Step 2: Convert to fraction form
    6,509/9,760.44 = 2,808.92/x
  3. Step 3: Cross multiply
    6,509x = 9,760.44 × 2,808.92
  4. Step 4: Simplify right side
    6,509x = 27,416,295.12
  5. Step 5: Solve for x
    x = 27,416,295.12/6,509
  6. Step 6: Final answer
    x = 4,212.06

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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.