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Finding the Fourth Proportional to 9,200.16, 12,696.12 and 5,008.38

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Solution

The fourth proportional to 9,200.16, 12,696.12 and 5,008.38 is: 6,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.16 : 12,696.12 = 5,008.38 : x
  2. Step 2: Convert to fraction form
    9,200.16/12,696.12 = 5,008.38/x
  3. Step 3: Cross multiply
    9,200.16x = 12,696.12 × 5,008.38
  4. Step 4: Simplify right side
    9,200.16x = 63,586,993.49
  5. Step 5: Solve for x
    x = 63,586,993.49/9,200.16
  6. Step 6: Final answer
    x = 6,911.51

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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.