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Finding the Fourth Proportional to 6,477.07, 8,938.16 and 3,644.60

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Solution

The fourth proportional to 6,477.07, 8,938.16 and 3,644.60 is: 5,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.07 : 8,938.16 = 3,644.60 : x
  2. Step 2: Convert to fraction form
    6,477.07/8,938.16 = 3,644.60/x
  3. Step 3: Cross multiply
    6,477.07x = 8,938.16 × 3,644.60
  4. Step 4: Simplify right side
    6,477.07x = 32,576,002.21
  5. Step 5: Solve for x
    x = 32,576,002.21/6,477.07
  6. Step 6: Final answer
    x = 5,029.44

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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.