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Finding the Fourth Proportional to 13,734.16, 18,953.16 and 7,446.53

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Solution

The fourth proportional to 13,734.16, 18,953.16 and 7,446.53 is: 10,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.16 : 18,953.16 = 7,446.53 : x
  2. Step 2: Convert to fraction form
    13,734.16/18,953.16 = 7,446.53/x
  3. Step 3: Cross multiply
    13,734.16x = 18,953.16 × 7,446.53
  4. Step 4: Simplify right side
    13,734.16x = 141,135,293.99
  5. Step 5: Solve for x
    x = 141,135,293.99/13,734.16
  6. Step 6: Final answer
    x = 10,276.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.