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Finding the Fourth Proportional to 15,232, 22,848 and 4,288

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Solution

The fourth proportional to 15,232, 22,848 and 4,288 is: 6,432

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,232 : 22,848 = 4,288 : x
  2. Step 2: Convert to fraction form
    15,232/22,848 = 4,288/x
  3. Step 3: Cross multiply
    15,232x = 22,848 × 4,288
  4. Step 4: Simplify right side
    15,232x = 97,972,224
  5. Step 5: Solve for x
    x = 97,972,224/15,232
  6. Step 6: Final answer
    x = 6,432

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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.