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Finding the Fourth Proportional to 6,905.77, 9,530.63 and 4,254.73

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Solution

The fourth proportional to 6,905.77, 9,530.63 and 4,254.73 is: 5,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.77 : 9,530.63 = 4,254.73 : x
  2. Step 2: Convert to fraction form
    6,905.77/9,530.63 = 4,254.73/x
  3. Step 3: Cross multiply
    6,905.77x = 9,530.63 × 4,254.73
  4. Step 4: Simplify right side
    6,905.77x = 40,550,257.38
  5. Step 5: Solve for x
    x = 40,550,257.38/6,905.77
  6. Step 6: Final answer
    x = 5,871.94

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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.