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Finding the Fourth Proportional to 13,734.63, 18,953.73 and 7,447.01

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Solution

The fourth proportional to 13,734.63, 18,953.73 and 7,447.01 is: 10,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.63 : 18,953.73 = 7,447.01 : x
  2. Step 2: Convert to fraction form
    13,734.63/18,953.73 = 7,447.01/x
  3. Step 3: Cross multiply
    13,734.63x = 18,953.73 × 7,447.01
  4. Step 4: Simplify right side
    13,734.63x = 141,148,522.08
  5. Step 5: Solve for x
    x = 141,148,522.08/13,734.63
  6. Step 6: Final answer
    x = 10,276.83

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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.