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Finding the Fourth Proportional to 7,846.57, 11,769.86 and 4,926.93

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Solution

The fourth proportional to 7,846.57, 11,769.86 and 4,926.93 is: 7,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.57 : 11,769.86 = 4,926.93 : x
  2. Step 2: Convert to fraction form
    7,846.57/11,769.86 = 4,926.93/x
  3. Step 3: Cross multiply
    7,846.57x = 11,769.86 × 4,926.93
  4. Step 4: Simplify right side
    7,846.57x = 57,989,216.80
  5. Step 5: Solve for x
    x = 57,989,216.80/7,846.57
  6. Step 6: Final answer
    x = 7,390.39

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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.