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Finding the Fourth Proportional to 10,613.93, 15,899.00 and 6,218.06

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Solution

The fourth proportional to 10,613.93, 15,899.00 and 6,218.06 is: 9,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.93 : 15,899.00 = 6,218.06 : x
  2. Step 2: Convert to fraction form
    10,613.93/15,899.00 = 6,218.06/x
  3. Step 3: Cross multiply
    10,613.93x = 15,899.00 × 6,218.06
  4. Step 4: Simplify right side
    10,613.93x = 98,860,825.35
  5. Step 5: Solve for x
    x = 98,860,825.35/10,613.93
  6. Step 6: Final answer
    x = 9,314.26

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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.