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Finding the Fourth Proportional to 6,633.48, 9,154.34 and 3,649.32

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Solution

The fourth proportional to 6,633.48, 9,154.34 and 3,649.32 is: 5,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.48 : 9,154.34 = 3,649.32 : x
  2. Step 2: Convert to fraction form
    6,633.48/9,154.34 = 3,649.32/x
  3. Step 3: Cross multiply
    6,633.48x = 9,154.34 × 3,649.32
  4. Step 4: Simplify right side
    6,633.48x = 33,407,116.05
  5. Step 5: Solve for x
    x = 33,407,116.05/6,633.48
  6. Step 6: Final answer
    x = 5,036.14

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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.