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Finding the Fourth Proportional to 9,798.06, 14,697 and 2,402.58

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Solution

The fourth proportional to 9,798.06, 14,697 and 2,402.58 is: 3,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.06 : 14,697 = 2,402.58 : x
  2. Step 2: Convert to fraction form
    9,798.06/14,697 = 2,402.58/x
  3. Step 3: Cross multiply
    9,798.06x = 14,697 × 2,402.58
  4. Step 4: Simplify right side
    9,798.06x = 35,310,718.26
  5. Step 5: Solve for x
    x = 35,310,718.26/9,798.06
  6. Step 6: Final answer
    x = 3,603.85

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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.