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Finding the Fourth Proportional to 6,906.58, 10,364.12 and 5,492.62

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Solution

The fourth proportional to 6,906.58, 10,364.12 and 5,492.62 is: 8,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.58 : 10,364.12 = 5,492.62 : x
  2. Step 2: Convert to fraction form
    6,906.58/10,364.12 = 5,492.62/x
  3. Step 3: Cross multiply
    6,906.58x = 10,364.12 × 5,492.62
  4. Step 4: Simplify right side
    6,906.58x = 56,926,178.88
  5. Step 5: Solve for x
    x = 56,926,178.88/6,906.58
  6. Step 6: Final answer
    x = 8,242.31

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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.