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Finding the Fourth Proportional to 6,603.42, 9,902.84 and 1,922.16

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Solution

The fourth proportional to 6,603.42, 9,902.84 and 1,922.16 is: 2,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.42 : 9,902.84 = 1,922.16 : x
  2. Step 2: Convert to fraction form
    6,603.42/9,902.84 = 1,922.16/x
  3. Step 3: Cross multiply
    6,603.42x = 9,902.84 × 1,922.16
  4. Step 4: Simplify right side
    6,603.42x = 19,034,833.32
  5. Step 5: Solve for x
    x = 19,034,833.32/6,603.42
  6. Step 6: Final answer
    x = 2,882.57

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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.