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Finding the Fourth Proportional to 7,741.85, 10,684.64 and 7,266.83

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Solution

The fourth proportional to 7,741.85, 10,684.64 and 7,266.83 is: 10,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.85 : 10,684.64 = 7,266.83 : x
  2. Step 2: Convert to fraction form
    7,741.85/10,684.64 = 7,266.83/x
  3. Step 3: Cross multiply
    7,741.85x = 10,684.64 × 7,266.83
  4. Step 4: Simplify right side
    7,741.85x = 77,643,487.34
  5. Step 5: Solve for x
    x = 77,643,487.34/7,741.85
  6. Step 6: Final answer
    x = 10,029.07

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Double scale
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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.