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Finding the Fourth Proportional to 9,771.87, 13,484.51 and 6,234.69

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Solution

The fourth proportional to 9,771.87, 13,484.51 and 6,234.69 is: 8,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.87 : 13,484.51 = 6,234.69 : x
  2. Step 2: Convert to fraction form
    9,771.87/13,484.51 = 6,234.69/x
  3. Step 3: Cross multiply
    9,771.87x = 13,484.51 × 6,234.69
  4. Step 4: Simplify right side
    9,771.87x = 84,071,739.65
  5. Step 5: Solve for x
    x = 84,071,739.65/9,771.87
  6. Step 6: Final answer
    x = 8,603.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.