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Finding the Fourth Proportional to 13,638.64, 20,457.12 and 4,873.12

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Solution

The fourth proportional to 13,638.64, 20,457.12 and 4,873.12 is: 7,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.64 : 20,457.12 = 4,873.12 : x
  2. Step 2: Convert to fraction form
    13,638.64/20,457.12 = 4,873.12/x
  3. Step 3: Cross multiply
    13,638.64x = 20,457.12 × 4,873.12
  4. Step 4: Simplify right side
    13,638.64x = 99,690,000.61
  5. Step 5: Solve for x
    x = 99,690,000.61/13,638.64
  6. Step 6: Final answer
    x = 7,309.38

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1.5x scale

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.