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Finding the Fourth Proportional to 13,314.65, 18,374.11 and 7,346.57

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Solution

The fourth proportional to 13,314.65, 18,374.11 and 7,346.57 is: 10,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.65 : 18,374.11 = 7,346.57 : x
  2. Step 2: Convert to fraction form
    13,314.65/18,374.11 = 7,346.57/x
  3. Step 3: Cross multiply
    13,314.65x = 18,374.11 × 7,346.57
  4. Step 4: Simplify right side
    13,314.65x = 134,986,575.07
  5. Step 5: Solve for x
    x = 134,986,575.07/13,314.65
  6. Step 6: Final answer
    x = 10,138.20

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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.