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Finding the Fourth Proportional to 7,071.58, 9,758.10 and 3,884.71

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Solution

The fourth proportional to 7,071.58, 9,758.10 and 3,884.71 is: 5,360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.58 : 9,758.10 = 3,884.71 : x
  2. Step 2: Convert to fraction form
    7,071.58/9,758.10 = 3,884.71/x
  3. Step 3: Cross multiply
    7,071.58x = 9,758.10 × 3,884.71
  4. Step 4: Simplify right side
    7,071.58x = 37,907,388.65
  5. Step 5: Solve for x
    x = 37,907,388.65/7,071.58
  6. Step 6: Final answer
    x = 5,360.53

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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.