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Finding the Fourth Proportional to 9,562.70, 14,344.05 and 2,542.70

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Solution

The fourth proportional to 9,562.70, 14,344.05 and 2,542.70 is: 3,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.70 : 14,344.05 = 2,542.70 : x
  2. Step 2: Convert to fraction form
    9,562.70/14,344.05 = 2,542.70/x
  3. Step 3: Cross multiply
    9,562.70x = 14,344.05 × 2,542.70
  4. Step 4: Simplify right side
    9,562.70x = 36,472,615.94
  5. Step 5: Solve for x
    x = 36,472,615.94/9,562.70
  6. Step 6: Final answer
    x = 3,814.05

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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.