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Finding the Fourth Proportional to 23,537, 35,298 and 7,738.40

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Solution

The fourth proportional to 23,537, 35,298 and 7,738.40 is: 11,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537 : 35,298 = 7,738.40 : x
  2. Step 2: Convert to fraction form
    23,537/35,298 = 7,738.40/x
  3. Step 3: Cross multiply
    23,537x = 35,298 × 7,738.40
  4. Step 4: Simplify right side
    23,537x = 273,150,043.20
  5. Step 5: Solve for x
    x = 273,150,043.20/23,537
  6. Step 6: Final answer
    x = 11,605.13

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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.