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Finding the Fourth Proportional to 7,092, 10,640.16 and 2,475

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Solution

The fourth proportional to 7,092, 10,640.16 and 2,475 is: 3,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092 : 10,640.16 = 2,475 : x
  2. Step 2: Convert to fraction form
    7,092/10,640.16 = 2,475/x
  3. Step 3: Cross multiply
    7,092x = 10,640.16 × 2,475
  4. Step 4: Simplify right side
    7,092x = 26,334,396
  5. Step 5: Solve for x
    x = 26,334,396/7,092
  6. Step 6: Final answer
    x = 3,713.25

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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.