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Finding the Fourth Proportional to 37,548, 56,322 and 9,846

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Solution

The fourth proportional to 37,548, 56,322 and 9,846 is: 14,769

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,548 : 56,322 = 9,846 : x
  2. Step 2: Convert to fraction form
    37,548/56,322 = 9,846/x
  3. Step 3: Cross multiply
    37,548x = 56,322 × 9,846
  4. Step 4: Simplify right side
    37,548x = 554,546,412
  5. Step 5: Solve for x
    x = 554,546,412/37,548
  6. Step 6: Final answer
    x = 14,769

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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.