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Finding the Fourth Proportional to 9,759, 14,638.50 and 3,603

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Solution

The fourth proportional to 9,759, 14,638.50 and 3,603 is: 5,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759 : 14,638.50 = 3,603 : x
  2. Step 2: Convert to fraction form
    9,759/14,638.50 = 3,603/x
  3. Step 3: Cross multiply
    9,759x = 14,638.50 × 3,603
  4. Step 4: Simplify right side
    9,759x = 52,742,515.50
  5. Step 5: Solve for x
    x = 52,742,515.50/9,759
  6. Step 6: Final answer
    x = 5,404.50

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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.