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Finding the Fourth Proportional to 13,406.68, 18,502.05 and 7,742.47

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Solution

The fourth proportional to 13,406.68, 18,502.05 and 7,742.47 is: 10,685.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.68 : 18,502.05 = 7,742.47 : x
  2. Step 2: Convert to fraction form
    13,406.68/18,502.05 = 7,742.47/x
  3. Step 3: Cross multiply
    13,406.68x = 18,502.05 × 7,742.47
  4. Step 4: Simplify right side
    13,406.68x = 143,251,567.06
  5. Step 5: Solve for x
    x = 143,251,567.06/13,406.68
  6. Step 6: Final answer
    x = 10,685.09

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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.