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Finding the Fourth Proportional to 7,794.16, 11,697.15 and 5,719.42

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Solution

The fourth proportional to 7,794.16, 11,697.15 and 5,719.42 is: 8,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.16 : 11,697.15 = 5,719.42 : x
  2. Step 2: Convert to fraction form
    7,794.16/11,697.15 = 5,719.42/x
  3. Step 3: Cross multiply
    7,794.16x = 11,697.15 × 5,719.42
  4. Step 4: Simplify right side
    7,794.16x = 66,900,913.65
  5. Step 5: Solve for x
    x = 66,900,913.65/7,794.16
  6. Step 6: Final answer
    x = 8,583.47

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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.