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Finding the Fourth Proportional to 6,718, 9,271.01 and 3,693.08

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Solution

The fourth proportional to 6,718, 9,271.01 and 3,693.08 is: 5,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718 : 9,271.01 = 3,693.08 : x
  2. Step 2: Convert to fraction form
    6,718/9,271.01 = 3,693.08/x
  3. Step 3: Cross multiply
    6,718x = 9,271.01 × 3,693.08
  4. Step 4: Simplify right side
    6,718x = 34,238,581.61
  5. Step 5: Solve for x
    x = 34,238,581.61/6,718
  6. Step 6: Final answer
    x = 5,096.54

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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.