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Finding the Fourth Proportional to 6,574.11, 9,867.09 and 4,796.77

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Solution

The fourth proportional to 6,574.11, 9,867.09 and 4,796.77 is: 7,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.11 : 9,867.09 = 4,796.77 : x
  2. Step 2: Convert to fraction form
    6,574.11/9,867.09 = 4,796.77/x
  3. Step 3: Cross multiply
    6,574.11x = 9,867.09 × 4,796.77
  4. Step 4: Simplify right side
    6,574.11x = 47,330,161.30
  5. Step 5: Solve for x
    x = 47,330,161.30/6,574.11
  6. Step 6: Final answer
    x = 7,199.48

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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.