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Finding the Fourth Proportional to 10,608.67, 15,907.53 and 7,282.00

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Solution

The fourth proportional to 10,608.67, 15,907.53 and 7,282.00 is: 10,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.67 : 15,907.53 = 7,282.00 : x
  2. Step 2: Convert to fraction form
    10,608.67/15,907.53 = 7,282.00/x
  3. Step 3: Cross multiply
    10,608.67x = 15,907.53 × 7,282.00
  4. Step 4: Simplify right side
    10,608.67x = 115,838,553.92
  5. Step 5: Solve for x
    x = 115,838,553.92/10,608.67
  6. Step 6: Final answer
    x = 10,919.24

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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.