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Finding the Fourth Proportional to 9,776.33, 14,652.73 and 4,504.09

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Solution

The fourth proportional to 9,776.33, 14,652.73 and 4,504.09 is: 6,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.33 : 14,652.73 = 4,504.09 : x
  2. Step 2: Convert to fraction form
    9,776.33/14,652.73 = 4,504.09/x
  3. Step 3: Cross multiply
    9,776.33x = 14,652.73 × 4,504.09
  4. Step 4: Simplify right side
    9,776.33x = 65,997,118.88
  5. Step 5: Solve for x
    x = 65,997,118.88/9,776.33
  6. Step 6: Final answer
    x = 6,750.71

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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.