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Finding the Fourth Proportional to 6,909.68, 9,541.32 and 5,924.72

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Solution

The fourth proportional to 6,909.68, 9,541.32 and 5,924.72 is: 8,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.68 : 9,541.32 = 5,924.72 : x
  2. Step 2: Convert to fraction form
    6,909.68/9,541.32 = 5,924.72/x
  3. Step 3: Cross multiply
    6,909.68x = 9,541.32 × 5,924.72
  4. Step 4: Simplify right side
    6,909.68x = 56,529,649.43
  5. Step 5: Solve for x
    x = 56,529,649.43/6,909.68
  6. Step 6: Final answer
    x = 8,181.23

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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.