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Finding the Fourth Proportional to 6,164, 8,506.32 and 4,068.80

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Solution

The fourth proportional to 6,164, 8,506.32 and 4,068.80 is: 5,614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164 : 8,506.32 = 4,068.80 : x
  2. Step 2: Convert to fraction form
    6,164/8,506.32 = 4,068.80/x
  3. Step 3: Cross multiply
    6,164x = 8,506.32 × 4,068.80
  4. Step 4: Simplify right side
    6,164x = 34,610,514.82
  5. Step 5: Solve for x
    x = 34,610,514.82/6,164
  6. Step 6: Final answer
    x = 5,614.94

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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.