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Finding the Fourth Proportional to 6,911.68, 9,544.08 and 5,926.72

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Solution

The fourth proportional to 6,911.68, 9,544.08 and 5,926.72 is: 8,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.68 : 9,544.08 = 5,926.72 : x
  2. Step 2: Convert to fraction form
    6,911.68/9,544.08 = 5,926.72/x
  3. Step 3: Cross multiply
    6,911.68x = 9,544.08 × 5,926.72
  4. Step 4: Simplify right side
    6,911.68x = 56,565,089.82
  5. Step 5: Solve for x
    x = 56,565,089.82/6,911.68
  6. Step 6: Final answer
    x = 8,183.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.