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Finding the Fourth Proportional to 6,291.41, 8,681.64 and 3,638.99

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Solution

The fourth proportional to 6,291.41, 8,681.64 and 3,638.99 is: 5,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.41 : 8,681.64 = 3,638.99 : x
  2. Step 2: Convert to fraction form
    6,291.41/8,681.64 = 3,638.99/x
  3. Step 3: Cross multiply
    6,291.41x = 8,681.64 × 3,638.99
  4. Step 4: Simplify right side
    6,291.41x = 31,592,401.14
  5. Step 5: Solve for x
    x = 31,592,401.14/6,291.41
  6. Step 6: Final answer
    x = 5,021.51

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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.