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Finding the Fourth Proportional to 6,603, 9,904.50 and 2,499

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Solution

The fourth proportional to 6,603, 9,904.50 and 2,499 is: 3,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603 : 9,904.50 = 2,499 : x
  2. Step 2: Convert to fraction form
    6,603/9,904.50 = 2,499/x
  3. Step 3: Cross multiply
    6,603x = 9,904.50 × 2,499
  4. Step 4: Simplify right side
    6,603x = 24,751,345.50
  5. Step 5: Solve for x
    x = 24,751,345.50/6,603
  6. Step 6: Final answer
    x = 3,748.50

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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.