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Finding the Fourth Proportional to 9,805.48, 14,707.74 and 3,649

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Solution

The fourth proportional to 9,805.48, 14,707.74 and 3,649 is: 5,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.48 : 14,707.74 = 3,649 : x
  2. Step 2: Convert to fraction form
    9,805.48/14,707.74 = 3,649/x
  3. Step 3: Cross multiply
    9,805.48x = 14,707.74 × 3,649
  4. Step 4: Simplify right side
    9,805.48x = 53,668,543.26
  5. Step 5: Solve for x
    x = 53,668,543.26/9,805.48
  6. Step 6: Final answer
    x = 5,473.32

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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.