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Finding the Fourth Proportional to 15,160, 22,740 and 4,216

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Solution

The fourth proportional to 15,160, 22,740 and 4,216 is: 6,324

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160 : 22,740 = 4,216 : x
  2. Step 2: Convert to fraction form
    15,160/22,740 = 4,216/x
  3. Step 3: Cross multiply
    15,160x = 22,740 × 4,216
  4. Step 4: Simplify right side
    15,160x = 95,871,840
  5. Step 5: Solve for x
    x = 95,871,840/15,160
  6. Step 6: Final answer
    x = 6,324

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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.