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Finding the Fourth Proportional to 9,757.70, 14,636.96 and 3,094.05

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Solution

The fourth proportional to 9,757.70, 14,636.96 and 3,094.05 is: 4,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.70 : 14,636.96 = 3,094.05 : x
  2. Step 2: Convert to fraction form
    9,757.70/14,636.96 = 3,094.05/x
  3. Step 3: Cross multiply
    9,757.70x = 14,636.96 × 3,094.05
  4. Step 4: Simplify right side
    9,757.70x = 45,287,486.09
  5. Step 5: Solve for x
    x = 45,287,486.09/9,757.70
  6. Step 6: Final answer
    x = 4,641.21

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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.