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Finding the Fourth Proportional to 6,537.96, 9,811.08 and 5,922.90

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Solution

The fourth proportional to 6,537.96, 9,811.08 and 5,922.90 is: 8,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.96 : 9,811.08 = 5,922.90 : x
  2. Step 2: Convert to fraction form
    6,537.96/9,811.08 = 5,922.90/x
  3. Step 3: Cross multiply
    6,537.96x = 9,811.08 × 5,922.90
  4. Step 4: Simplify right side
    6,537.96x = 58,110,045.73
  5. Step 5: Solve for x
    x = 58,110,045.73/6,537.96
  6. Step 6: Final answer
    x = 8,888.10

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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.