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Finding the Fourth Proportional to 23,735.17, 35,603.10 and 6,205

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Solution

The fourth proportional to 23,735.17, 35,603.10 and 6,205 is: 9,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,735.17 : 35,603.10 = 6,205 : x
  2. Step 2: Convert to fraction form
    23,735.17/35,603.10 = 6,205/x
  3. Step 3: Cross multiply
    23,735.17x = 35,603.10 × 6,205
  4. Step 4: Simplify right side
    23,735.17x = 220,917,235.50
  5. Step 5: Solve for x
    x = 220,917,235.50/23,735.17
  6. Step 6: Final answer
    x = 9,307.59

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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.