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Finding the Fourth Proportional to 9,690, 14,535.14 and 2,764.50

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Solution

The fourth proportional to 9,690, 14,535.14 and 2,764.50 is: 4,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690 : 14,535.14 = 2,764.50 : x
  2. Step 2: Convert to fraction form
    9,690/14,535.14 = 2,764.50/x
  3. Step 3: Cross multiply
    9,690x = 14,535.14 × 2,764.50
  4. Step 4: Simplify right side
    9,690x = 40,182,394.53
  5. Step 5: Solve for x
    x = 40,182,394.53/9,690
  6. Step 6: Final answer
    x = 4,146.79

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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.