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Finding the Fourth Proportional to 6,354.56, 9,531.76 and 6,197.69

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Solution

The fourth proportional to 6,354.56, 9,531.76 and 6,197.69 is: 9,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.56 : 9,531.76 = 6,197.69 : x
  2. Step 2: Convert to fraction form
    6,354.56/9,531.76 = 6,197.69/x
  3. Step 3: Cross multiply
    6,354.56x = 9,531.76 × 6,197.69
  4. Step 4: Simplify right side
    6,354.56x = 59,074,893.63
  5. Step 5: Solve for x
    x = 59,074,893.63/6,354.56
  6. Step 6: Final answer
    x = 9,296.46

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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.