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Finding the Fourth Proportional to 9,362.46, 12,919.00 and 5,170.46

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Solution

The fourth proportional to 9,362.46, 12,919.00 and 5,170.46 is: 7,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.46 : 12,919.00 = 5,170.46 : x
  2. Step 2: Convert to fraction form
    9,362.46/12,919.00 = 5,170.46/x
  3. Step 3: Cross multiply
    9,362.46x = 12,919.00 × 5,170.46
  4. Step 4: Simplify right side
    9,362.46x = 66,797,095.22
  5. Step 5: Solve for x
    x = 66,797,095.22/9,362.46
  6. Step 6: Final answer
    x = 7,134.57

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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.