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Finding the Fourth Proportional to 37,550, 56,325 and 9,848

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Solution

The fourth proportional to 37,550, 56,325 and 9,848 is: 14,772

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,550 : 56,325 = 9,848 : x
  2. Step 2: Convert to fraction form
    37,550/56,325 = 9,848/x
  3. Step 3: Cross multiply
    37,550x = 56,325 × 9,848
  4. Step 4: Simplify right side
    37,550x = 554,688,600
  5. Step 5: Solve for x
    x = 554,688,600/37,550
  6. Step 6: Final answer
    x = 14,772

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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.