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Finding the Fourth Proportional to 26,962, 40,443 and 7,506

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Solution

The fourth proportional to 26,962, 40,443 and 7,506 is: 11,259

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,962 : 40,443 = 7,506 : x
  2. Step 2: Convert to fraction form
    26,962/40,443 = 7,506/x
  3. Step 3: Cross multiply
    26,962x = 40,443 × 7,506
  4. Step 4: Simplify right side
    26,962x = 303,565,158
  5. Step 5: Solve for x
    x = 303,565,158/26,962
  6. Step 6: Final answer
    x = 11,259

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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.