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Finding the Fourth Proportional to 6,266.36, 8,646.14 and 3,748.07

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Solution

The fourth proportional to 6,266.36, 8,646.14 and 3,748.07 is: 5,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.36 : 8,646.14 = 3,748.07 : x
  2. Step 2: Convert to fraction form
    6,266.36/8,646.14 = 3,748.07/x
  3. Step 3: Cross multiply
    6,266.36x = 8,646.14 × 3,748.07
  4. Step 4: Simplify right side
    6,266.36x = 32,406,368.94
  5. Step 5: Solve for x
    x = 32,406,368.94/6,266.36
  6. Step 6: Final answer
    x = 5,171.48

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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.