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Finding the Fourth Proportional to 9,190.84, 12,682.92 and 4,999

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Solution

The fourth proportional to 9,190.84, 12,682.92 and 4,999 is: 6,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.84 : 12,682.92 = 4,999 : x
  2. Step 2: Convert to fraction form
    9,190.84/12,682.92 = 4,999/x
  3. Step 3: Cross multiply
    9,190.84x = 12,682.92 × 4,999
  4. Step 4: Simplify right side
    9,190.84x = 63,401,917.08
  5. Step 5: Solve for x
    x = 63,401,917.08/9,190.84
  6. Step 6: Final answer
    x = 6,898.38

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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.