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Finding the Fourth Proportional to 9,755.10, 14,646.15 and 6,266.70

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Solution

The fourth proportional to 9,755.10, 14,646.15 and 6,266.70 is: 9,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.10 : 14,646.15 = 6,266.70 : x
  2. Step 2: Convert to fraction form
    9,755.10/14,646.15 = 6,266.70/x
  3. Step 3: Cross multiply
    9,755.10x = 14,646.15 × 6,266.70
  4. Step 4: Simplify right side
    9,755.10x = 91,783,028.21
  5. Step 5: Solve for x
    x = 91,783,028.21/9,755.10
  6. Step 6: Final answer
    x = 9,408.72

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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.