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Finding the Fourth Proportional to 6,523.84, 8,998.44 and 4,164.92

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Solution

The fourth proportional to 6,523.84, 8,998.44 and 4,164.92 is: 5,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.84 : 8,998.44 = 4,164.92 : x
  2. Step 2: Convert to fraction form
    6,523.84/8,998.44 = 4,164.92/x
  3. Step 3: Cross multiply
    6,523.84x = 8,998.44 × 4,164.92
  4. Step 4: Simplify right side
    6,523.84x = 37,477,779.29
  5. Step 5: Solve for x
    x = 37,477,779.29/6,523.84
  6. Step 6: Final answer
    x = 5,744.74

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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.