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Finding the Fourth Proportional to 23,522, 35,283 and 7,106

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Solution

The fourth proportional to 23,522, 35,283 and 7,106 is: 10,659

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522 : 35,283 = 7,106 : x
  2. Step 2: Convert to fraction form
    23,522/35,283 = 7,106/x
  3. Step 3: Cross multiply
    23,522x = 35,283 × 7,106
  4. Step 4: Simplify right side
    23,522x = 250,720,998
  5. Step 5: Solve for x
    x = 250,720,998/23,522
  6. Step 6: Final answer
    x = 10,659

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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.