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Finding the Fourth Proportional to 11,340.46, 15,644.38 and 7,362.82

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Solution

The fourth proportional to 11,340.46, 15,644.38 and 7,362.82 is: 10,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.46 : 15,644.38 = 7,362.82 : x
  2. Step 2: Convert to fraction form
    11,340.46/15,644.38 = 7,362.82/x
  3. Step 3: Cross multiply
    11,340.46x = 15,644.38 × 7,362.82
  4. Step 4: Simplify right side
    11,340.46x = 115,186,638.92
  5. Step 5: Solve for x
    x = 115,186,638.92/11,340.46
  6. Step 6: Final answer
    x = 10,157.14

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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.