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Finding the Fourth Proportional to 6,477.58, 8,938.41 and 3,644.88

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Solution

The fourth proportional to 6,477.58, 8,938.41 and 3,644.88 is: 5,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.58 : 8,938.41 = 3,644.88 : x
  2. Step 2: Convert to fraction form
    6,477.58/8,938.41 = 3,644.88/x
  3. Step 3: Cross multiply
    6,477.58x = 8,938.41 × 3,644.88
  4. Step 4: Simplify right side
    6,477.58x = 32,579,445.18
  5. Step 5: Solve for x
    x = 32,579,445.18/6,477.58
  6. Step 6: Final answer
    x = 5,029.57

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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.