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Finding the Fourth Proportional to 6,889.48, 9,507.24 and 3,905.24

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Solution

The fourth proportional to 6,889.48, 9,507.24 and 3,905.24 is: 5,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.48 : 9,507.24 = 3,905.24 : x
  2. Step 2: Convert to fraction form
    6,889.48/9,507.24 = 3,905.24/x
  3. Step 3: Cross multiply
    6,889.48x = 9,507.24 × 3,905.24
  4. Step 4: Simplify right side
    6,889.48x = 37,128,006.40
  5. Step 5: Solve for x
    x = 37,128,006.40/6,889.48
  6. Step 6: Final answer
    x = 5,389.09

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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.