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Finding the Fourth Proportional to 6,167.34, 8,503.74 and 5,834.93

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Solution

The fourth proportional to 6,167.34, 8,503.74 and 5,834.93 is: 8,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.34 : 8,503.74 = 5,834.93 : x
  2. Step 2: Convert to fraction form
    6,167.34/8,503.74 = 5,834.93/x
  3. Step 3: Cross multiply
    6,167.34x = 8,503.74 × 5,834.93
  4. Step 4: Simplify right side
    6,167.34x = 49,618,685.12
  5. Step 5: Solve for x
    x = 49,618,685.12/6,167.34
  6. Step 6: Final answer
    x = 8,045.39

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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.