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Finding the Fourth Proportional to 14,742, 22,113 and 4,353.48

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Solution

The fourth proportional to 14,742, 22,113 and 4,353.48 is: 6,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 22,113 = 4,353.48 : x
  2. Step 2: Convert to fraction form
    14,742/22,113 = 4,353.48/x
  3. Step 3: Cross multiply
    14,742x = 22,113 × 4,353.48
  4. Step 4: Simplify right side
    14,742x = 96,268,503.24
  5. Step 5: Solve for x
    x = 96,268,503.24/14,742
  6. Step 6: Final answer
    x = 6,530.22

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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.