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Finding the Fourth Proportional to 9,160.34, 13,742.67 and 7,293.29

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Solution

The fourth proportional to 9,160.34, 13,742.67 and 7,293.29 is: 10,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.34 : 13,742.67 = 7,293.29 : x
  2. Step 2: Convert to fraction form
    9,160.34/13,742.67 = 7,293.29/x
  3. Step 3: Cross multiply
    9,160.34x = 13,742.67 × 7,293.29
  4. Step 4: Simplify right side
    9,160.34x = 100,229,277.68
  5. Step 5: Solve for x
    x = 100,229,277.68/9,160.34
  6. Step 6: Final answer
    x = 10,941.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.