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Finding the Fourth Proportional to 6,144.34, 9,214.88 and 1,761.98

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Solution

The fourth proportional to 6,144.34, 9,214.88 and 1,761.98 is: 2,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.34 : 9,214.88 = 1,761.98 : x
  2. Step 2: Convert to fraction form
    6,144.34/9,214.88 = 1,761.98/x
  3. Step 3: Cross multiply
    6,144.34x = 9,214.88 × 1,761.98
  4. Step 4: Simplify right side
    6,144.34x = 16,236,434.26
  5. Step 5: Solve for x
    x = 16,236,434.26/6,144.34
  6. Step 6: Final answer
    x = 2,642.50

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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.