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Finding the Fourth Proportional to 22,140, 33,210 and 7,548

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Solution

The fourth proportional to 22,140, 33,210 and 7,548 is: 11,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,140 : 33,210 = 7,548 : x
  2. Step 2: Convert to fraction form
    22,140/33,210 = 7,548/x
  3. Step 3: Cross multiply
    22,140x = 33,210 × 7,548
  4. Step 4: Simplify right side
    22,140x = 250,669,080
  5. Step 5: Solve for x
    x = 250,669,080/22,140
  6. Step 6: Final answer
    x = 11,322

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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.