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Finding the Fourth Proportional to 4,681.86, 7,002.13 and 4,165.49

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Solution

The fourth proportional to 4,681.86, 7,002.13 and 4,165.49 is: 6,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.86 : 7,002.13 = 4,165.49 : x
  2. Step 2: Convert to fraction form
    4,681.86/7,002.13 = 4,165.49/x
  3. Step 3: Cross multiply
    4,681.86x = 7,002.13 × 4,165.49
  4. Step 4: Simplify right side
    4,681.86x = 29,167,302.49
  5. Step 5: Solve for x
    x = 29,167,302.49/4,681.86
  6. Step 6: Final answer
    x = 6,229.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.