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Finding the Fourth Proportional to 14,712, 22,068 and 3,768

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Solution

The fourth proportional to 14,712, 22,068 and 3,768 is: 5,652

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712 : 22,068 = 3,768 : x
  2. Step 2: Convert to fraction form
    14,712/22,068 = 3,768/x
  3. Step 3: Cross multiply
    14,712x = 22,068 × 3,768
  4. Step 4: Simplify right side
    14,712x = 83,152,224
  5. Step 5: Solve for x
    x = 83,152,224/14,712
  6. Step 6: Final answer
    x = 5,652

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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.