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Finding the Fourth Proportional to 6,508.96, 9,764.40 and 1,892.32

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Solution

The fourth proportional to 6,508.96, 9,764.40 and 1,892.32 is: 2,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.96 : 9,764.40 = 1,892.32 : x
  2. Step 2: Convert to fraction form
    6,508.96/9,764.40 = 1,892.32/x
  3. Step 3: Cross multiply
    6,508.96x = 9,764.40 × 1,892.32
  4. Step 4: Simplify right side
    6,508.96x = 18,477,369.41
  5. Step 5: Solve for x
    x = 18,477,369.41/6,508.96
  6. Step 6: Final answer
    x = 2,838.76

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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.