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Finding the Fourth Proportional to 6,414.48, 8,852.16 and 3,582.08

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Solution

The fourth proportional to 6,414.48, 8,852.16 and 3,582.08 is: 4,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.48 : 8,852.16 = 3,582.08 : x
  2. Step 2: Convert to fraction form
    6,414.48/8,852.16 = 3,582.08/x
  3. Step 3: Cross multiply
    6,414.48x = 8,852.16 × 3,582.08
  4. Step 4: Simplify right side
    6,414.48x = 31,709,145.29
  5. Step 5: Solve for x
    x = 31,709,145.29/6,414.48
  6. Step 6: Final answer
    x = 4,943.37

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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.