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Finding the Fourth Proportional to 7,054.09, 9,734.20 and 3,866.74

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Solution

The fourth proportional to 7,054.09, 9,734.20 and 3,866.74 is: 5,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.09 : 9,734.20 = 3,866.74 : x
  2. Step 2: Convert to fraction form
    7,054.09/9,734.20 = 3,866.74/x
  3. Step 3: Cross multiply
    7,054.09x = 9,734.20 × 3,866.74
  4. Step 4: Simplify right side
    7,054.09x = 37,639,586.51
  5. Step 5: Solve for x
    x = 37,639,586.51/7,054.09
  6. Step 6: Final answer
    x = 5,335.85

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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.