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Finding the Fourth Proportional to 6,492.60, 9,738.90 and 4,524.30

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Solution

The fourth proportional to 6,492.60, 9,738.90 and 4,524.30 is: 6,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.60 : 9,738.90 = 4,524.30 : x
  2. Step 2: Convert to fraction form
    6,492.60/9,738.90 = 4,524.30/x
  3. Step 3: Cross multiply
    6,492.60x = 9,738.90 × 4,524.30
  4. Step 4: Simplify right side
    6,492.60x = 44,061,705.27
  5. Step 5: Solve for x
    x = 44,061,705.27/6,492.60
  6. Step 6: Final answer
    x = 6,786.45

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Similar ratio
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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.