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Finding the Fourth Proportional to 13,474.30, 18,594.08 and 7,505.68

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Solution

The fourth proportional to 13,474.30, 18,594.08 and 7,505.68 is: 10,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.30 : 18,594.08 = 7,505.68 : x
  2. Step 2: Convert to fraction form
    13,474.30/18,594.08 = 7,505.68/x
  3. Step 3: Cross multiply
    13,474.30x = 18,594.08 × 7,505.68
  4. Step 4: Simplify right side
    13,474.30x = 139,561,214.37
  5. Step 5: Solve for x
    x = 139,561,214.37/13,474.30
  6. Step 6: Final answer
    x = 10,357.59

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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.