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Finding the Fourth Proportional to 9,847.53, 14,780.18 and 6,677.29

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Solution

The fourth proportional to 9,847.53, 14,780.18 and 6,677.29 is: 10,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.53 : 14,780.18 = 6,677.29 : x
  2. Step 2: Convert to fraction form
    9,847.53/14,780.18 = 6,677.29/x
  3. Step 3: Cross multiply
    9,847.53x = 14,780.18 × 6,677.29
  4. Step 4: Simplify right side
    9,847.53x = 98,691,548.11
  5. Step 5: Solve for x
    x = 98,691,548.11/9,847.53
  6. Step 6: Final answer
    x = 10,021.96

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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.