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Finding the Fourth Proportional to 6,896.02, 9,516.54 and 3,752.23

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Solution

The fourth proportional to 6,896.02, 9,516.54 and 3,752.23 is: 5,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.02 : 9,516.54 = 3,752.23 : x
  2. Step 2: Convert to fraction form
    6,896.02/9,516.54 = 3,752.23/x
  3. Step 3: Cross multiply
    6,896.02x = 9,516.54 × 3,752.23
  4. Step 4: Simplify right side
    6,896.02x = 35,708,246.88
  5. Step 5: Solve for x
    x = 35,708,246.88/6,896.02
  6. Step 6: Final answer
    x = 5,178.10

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Half scale
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Double scale
Find fourth proportional to 6,897.02, 9,517.92 and 3,753.23
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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.