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Finding the Fourth Proportional to 9,081, 12,537.64 and 7,406.44

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Solution

The fourth proportional to 9,081, 12,537.64 and 7,406.44 is: 10,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081 : 12,537.64 = 7,406.44 : x
  2. Step 2: Convert to fraction form
    9,081/12,537.64 = 7,406.44/x
  3. Step 3: Cross multiply
    9,081x = 12,537.64 × 7,406.44
  4. Step 4: Simplify right side
    9,081x = 92,859,278.40
  5. Step 5: Solve for x
    x = 92,859,278.40/9,081
  6. Step 6: Final answer
    x = 10,225.67

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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.