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Finding the Fourth Proportional to 6,513, 8,991.03 and 4,124.13

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Solution

The fourth proportional to 6,513, 8,991.03 and 4,124.13 is: 5,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513 : 8,991.03 = 4,124.13 : x
  2. Step 2: Convert to fraction form
    6,513/8,991.03 = 4,124.13/x
  3. Step 3: Cross multiply
    6,513x = 8,991.03 × 4,124.13
  4. Step 4: Simplify right side
    6,513x = 37,080,176.55
  5. Step 5: Solve for x
    x = 37,080,176.55/6,513
  6. Step 6: Final answer
    x = 5,693.26

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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.