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Finding the Fourth Proportional to 9,665.94, 13,334.14 and 6,123.54

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Solution

The fourth proportional to 9,665.94, 13,334.14 and 6,123.54 is: 8,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.94 : 13,334.14 = 6,123.54 : x
  2. Step 2: Convert to fraction form
    9,665.94/13,334.14 = 6,123.54/x
  3. Step 3: Cross multiply
    9,665.94x = 13,334.14 × 6,123.54
  4. Step 4: Simplify right side
    9,665.94x = 81,652,139.66
  5. Step 5: Solve for x
    x = 81,652,139.66/9,665.94
  6. Step 6: Final answer
    x = 8,447.41

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Half scale
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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.