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Finding the Fourth Proportional to 6,414.48, 8,852.04 and 3,582.09

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Solution

The fourth proportional to 6,414.48, 8,852.04 and 3,582.09 is: 4,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.48 : 8,852.04 = 3,582.09 : x
  2. Step 2: Convert to fraction form
    6,414.48/8,852.04 = 3,582.09/x
  3. Step 3: Cross multiply
    6,414.48x = 8,852.04 × 3,582.09
  4. Step 4: Simplify right side
    6,414.48x = 31,708,803.96
  5. Step 5: Solve for x
    x = 31,708,803.96/6,414.48
  6. Step 6: Final answer
    x = 4,943.32

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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.