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Finding the Fourth Proportional to 7,101.77, 9,801.05 and 4,269.60

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Solution

The fourth proportional to 7,101.77, 9,801.05 and 4,269.60 is: 5,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.77 : 9,801.05 = 4,269.60 : x
  2. Step 2: Convert to fraction form
    7,101.77/9,801.05 = 4,269.60/x
  3. Step 3: Cross multiply
    7,101.77x = 9,801.05 × 4,269.60
  4. Step 4: Simplify right side
    7,101.77x = 41,846,541.73
  5. Step 5: Solve for x
    x = 41,846,541.73/7,101.77
  6. Step 6: Final answer
    x = 5,892.41

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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.