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Finding the Fourth Proportional to 9,655.34, 13,324.92 and 7,293.38

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Solution

The fourth proportional to 9,655.34, 13,324.92 and 7,293.38 is: 10,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.34 : 13,324.92 = 7,293.38 : x
  2. Step 2: Convert to fraction form
    9,655.34/13,324.92 = 7,293.38/x
  3. Step 3: Cross multiply
    9,655.34x = 13,324.92 × 7,293.38
  4. Step 4: Simplify right side
    9,655.34x = 97,183,705.03
  5. Step 5: Solve for x
    x = 97,183,705.03/9,655.34
  6. Step 6: Final answer
    x = 10,065.28

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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.