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Finding the Fourth Proportional to 9,138.14, 12,598.90 and 7,494.96

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Solution

The fourth proportional to 9,138.14, 12,598.90 and 7,494.96 is: 10,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.14 : 12,598.90 = 7,494.96 : x
  2. Step 2: Convert to fraction form
    9,138.14/12,598.90 = 7,494.96/x
  3. Step 3: Cross multiply
    9,138.14x = 12,598.90 × 7,494.96
  4. Step 4: Simplify right side
    9,138.14x = 94,428,232.81
  5. Step 5: Solve for x
    x = 94,428,232.81/9,138.14
  6. Step 6: Final answer
    x = 10,333.43

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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.