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Finding the Fourth Proportional to 6,438.72, 9,658.56 and 1,822.08

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Solution

The fourth proportional to 6,438.72, 9,658.56 and 1,822.08 is: 2,733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.72 : 9,658.56 = 1,822.08 : x
  2. Step 2: Convert to fraction form
    6,438.72/9,658.56 = 1,822.08/x
  3. Step 3: Cross multiply
    6,438.72x = 9,658.56 × 1,822.08
  4. Step 4: Simplify right side
    6,438.72x = 17,598,669.00
  5. Step 5: Solve for x
    x = 17,598,669.00/6,438.72
  6. Step 6: Final answer
    x = 2,733.26

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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.