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Finding the Fourth Proportional to 6,673.36, 9,142.32 and 6,424.08

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Solution

The fourth proportional to 6,673.36, 9,142.32 and 6,424.08 is: 8,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.36 : 9,142.32 = 6,424.08 : x
  2. Step 2: Convert to fraction form
    6,673.36/9,142.32 = 6,424.08/x
  3. Step 3: Cross multiply
    6,673.36x = 9,142.32 × 6,424.08
  4. Step 4: Simplify right side
    6,673.36x = 58,730,995.07
  5. Step 5: Solve for x
    x = 58,730,995.07/6,673.36
  6. Step 6: Final answer
    x = 8,800.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.