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Finding the Fourth Proportional to 4,714.26, 7,071.40 and 1,251.50

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Solution

The fourth proportional to 4,714.26, 7,071.40 and 1,251.50 is: 1,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.26 : 7,071.40 = 1,251.50 : x
  2. Step 2: Convert to fraction form
    4,714.26/7,071.40 = 1,251.50/x
  3. Step 3: Cross multiply
    4,714.26x = 7,071.40 × 1,251.50
  4. Step 4: Simplify right side
    4,714.26x = 8,849,857.10
  5. Step 5: Solve for x
    x = 8,849,857.10/4,714.26
  6. Step 6: Final answer
    x = 1,877.25

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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.