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Finding the Fourth Proportional to 9,762.41, 13,462.05 and 8,350.76

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Solution

The fourth proportional to 9,762.41, 13,462.05 and 8,350.76 is: 11,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.41 : 13,462.05 = 8,350.76 : x
  2. Step 2: Convert to fraction form
    9,762.41/13,462.05 = 8,350.76/x
  3. Step 3: Cross multiply
    9,762.41x = 13,462.05 × 8,350.76
  4. Step 4: Simplify right side
    9,762.41x = 112,418,382.31
  5. Step 5: Solve for x
    x = 112,418,382.31/9,762.41
  6. Step 6: Final answer
    x = 11,515.44

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Half 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.