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Finding the Fourth Proportional to 14,848, 22,272 and 4,459.52

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Solution

The fourth proportional to 14,848, 22,272 and 4,459.52 is: 6,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,848 : 22,272 = 4,459.52 : x
  2. Step 2: Convert to fraction form
    14,848/22,272 = 4,459.52/x
  3. Step 3: Cross multiply
    14,848x = 22,272 × 4,459.52
  4. Step 4: Simplify right side
    14,848x = 99,322,429.44
  5. Step 5: Solve for x
    x = 99,322,429.44/14,848
  6. Step 6: Final answer
    x = 6,689.28

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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.