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Finding the Fourth Proportional to 23,656, 35,484 and 7,240

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Solution

The fourth proportional to 23,656, 35,484 and 7,240 is: 10,860

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656 : 35,484 = 7,240 : x
  2. Step 2: Convert to fraction form
    23,656/35,484 = 7,240/x
  3. Step 3: Cross multiply
    23,656x = 35,484 × 7,240
  4. Step 4: Simplify right side
    23,656x = 256,904,160
  5. Step 5: Solve for x
    x = 256,904,160/23,656
  6. Step 6: Final answer
    x = 10,860

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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.