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Finding the Fourth Proportional to 9,563, 14,350.98 and 3,407

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Solution

The fourth proportional to 9,563, 14,350.98 and 3,407 is: 5,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563 : 14,350.98 = 3,407 : x
  2. Step 2: Convert to fraction form
    9,563/14,350.98 = 3,407/x
  3. Step 3: Cross multiply
    9,563x = 14,350.98 × 3,407
  4. Step 4: Simplify right side
    9,563x = 48,893,788.86
  5. Step 5: Solve for x
    x = 48,893,788.86/9,563
  6. Step 6: Final answer
    x = 5,112.81

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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.