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Finding the Fourth Proportional to 4,573.86, 6,822.14 and 4,435.41

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Solution

The fourth proportional to 4,573.86, 6,822.14 and 4,435.41 is: 6,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.86 : 6,822.14 = 4,435.41 : x
  2. Step 2: Convert to fraction form
    4,573.86/6,822.14 = 4,435.41/x
  3. Step 3: Cross multiply
    4,573.86x = 6,822.14 × 4,435.41
  4. Step 4: Simplify right side
    4,573.86x = 30,259,005.03
  5. Step 5: Solve for x
    x = 30,259,005.03/4,573.86
  6. Step 6: Final answer
    x = 6,615.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.