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Finding the Fourth Proportional to 6,349.29, 9,514.71 and 4,504.02

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Solution

The fourth proportional to 6,349.29, 9,514.71 and 4,504.02 is: 6,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.29 : 9,514.71 = 4,504.02 : x
  2. Step 2: Convert to fraction form
    6,349.29/9,514.71 = 4,504.02/x
  3. Step 3: Cross multiply
    6,349.29x = 9,514.71 × 4,504.02
  4. Step 4: Simplify right side
    6,349.29x = 42,854,444.13
  5. Step 5: Solve for x
    x = 42,854,444.13/6,349.29
  6. Step 6: Final answer
    x = 6,749.49

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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.