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Finding the Fourth Proportional to 9,697.79, 13,383.62 and 6,516.42

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Solution

The fourth proportional to 9,697.79, 13,383.62 and 6,516.42 is: 8,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.79 : 13,383.62 = 6,516.42 : x
  2. Step 2: Convert to fraction form
    9,697.79/13,383.62 = 6,516.42/x
  3. Step 3: Cross multiply
    9,697.79x = 13,383.62 × 6,516.42
  4. Step 4: Simplify right side
    9,697.79x = 87,213,230.71
  5. Step 5: Solve for x
    x = 87,213,230.71/9,697.79
  6. Step 6: Final answer
    x = 8,993.10

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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.