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Finding the Fourth Proportional to 7,694.93, 10,613.72 and 4,712.24

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Solution

The fourth proportional to 7,694.93, 10,613.72 and 4,712.24 is: 6,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.93 : 10,613.72 = 4,712.24 : x
  2. Step 2: Convert to fraction form
    7,694.93/10,613.72 = 4,712.24/x
  3. Step 3: Cross multiply
    7,694.93x = 10,613.72 × 4,712.24
  4. Step 4: Simplify right side
    7,694.93x = 50,014,319.30
  5. Step 5: Solve for x
    x = 50,014,319.30/7,694.93
  6. Step 6: Final answer
    x = 6,499.65

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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.