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Finding the Fourth Proportional to 9,517, 14,275.68 and 2,591.68

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Solution

The fourth proportional to 9,517, 14,275.68 and 2,591.68 is: 3,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517 : 14,275.68 = 2,591.68 : x
  2. Step 2: Convert to fraction form
    9,517/14,275.68 = 2,591.68/x
  3. Step 3: Cross multiply
    9,517x = 14,275.68 × 2,591.68
  4. Step 4: Simplify right side
    9,517x = 36,997,994.34
  5. Step 5: Solve for x
    x = 36,997,994.34/9,517
  6. Step 6: Final answer
    x = 3,887.57

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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.