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Finding the Fourth Proportional to 9,689.80, 14,540.70 and 3,845.80

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Solution

The fourth proportional to 9,689.80, 14,540.70 and 3,845.80 is: 5,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.80 : 14,540.70 = 3,845.80 : x
  2. Step 2: Convert to fraction form
    9,689.80/14,540.70 = 3,845.80/x
  3. Step 3: Cross multiply
    9,689.80x = 14,540.70 × 3,845.80
  4. Step 4: Simplify right side
    9,689.80x = 55,920,624.06
  5. Step 5: Solve for x
    x = 55,920,624.06/9,689.80
  6. Step 6: Final answer
    x = 5,771.08

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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.