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Finding the Fourth Proportional to 6,854.61, 9,453.63 and 4,201.05

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Solution

The fourth proportional to 6,854.61, 9,453.63 and 4,201.05 is: 5,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.61 : 9,453.63 = 4,201.05 : x
  2. Step 2: Convert to fraction form
    6,854.61/9,453.63 = 4,201.05/x
  3. Step 3: Cross multiply
    6,854.61x = 9,453.63 × 4,201.05
  4. Step 4: Simplify right side
    6,854.61x = 39,715,172.31
  5. Step 5: Solve for x
    x = 39,715,172.31/6,854.61
  6. Step 6: Final answer
    x = 5,793.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.