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Finding the Fourth Proportional to 7,601.71, 11,406.51 and 5,752.27

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Solution

The fourth proportional to 7,601.71, 11,406.51 and 5,752.27 is: 8,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.71 : 11,406.51 = 5,752.27 : x
  2. Step 2: Convert to fraction form
    7,601.71/11,406.51 = 5,752.27/x
  3. Step 3: Cross multiply
    7,601.71x = 11,406.51 × 5,752.27
  4. Step 4: Simplify right side
    7,601.71x = 65,613,325.28
  5. Step 5: Solve for x
    x = 65,613,325.28/7,601.71
  6. Step 6: Final answer
    x = 8,631.39

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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.