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Finding the Fourth Proportional to 9,695.69, 14,543.53 and 2,770.19

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Solution

The fourth proportional to 9,695.69, 14,543.53 and 2,770.19 is: 4,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.69 : 14,543.53 = 2,770.19 : x
  2. Step 2: Convert to fraction form
    9,695.69/14,543.53 = 2,770.19/x
  3. Step 3: Cross multiply
    9,695.69x = 14,543.53 × 2,770.19
  4. Step 4: Simplify right side
    9,695.69x = 40,288,311.94
  5. Step 5: Solve for x
    x = 40,288,311.94/9,695.69
  6. Step 6: Final answer
    x = 4,155.28

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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.