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Finding the Fourth Proportional to 7,734.71, 11,602.07 and 4,293.83

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Solution

The fourth proportional to 7,734.71, 11,602.07 and 4,293.83 is: 6,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.71 : 11,602.07 = 4,293.83 : x
  2. Step 2: Convert to fraction form
    7,734.71/11,602.07 = 4,293.83/x
  3. Step 3: Cross multiply
    7,734.71x = 11,602.07 × 4,293.83
  4. Step 4: Simplify right side
    7,734.71x = 49,817,316.23
  5. Step 5: Solve for x
    x = 49,817,316.23/7,734.71
  6. Step 6: Final answer
    x = 6,440.75

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Similar ratio
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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.