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Finding the Fourth Proportional to 6,305, 8,701.17 and 3,510.50

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Solution

The fourth proportional to 6,305, 8,701.17 and 3,510.50 is: 4,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305 : 8,701.17 = 3,510.50 : x
  2. Step 2: Convert to fraction form
    6,305/8,701.17 = 3,510.50/x
  3. Step 3: Cross multiply
    6,305x = 8,701.17 × 3,510.50
  4. Step 4: Simplify right side
    6,305x = 30,545,457.29
  5. Step 5: Solve for x
    x = 30,545,457.29/6,305
  6. Step 6: Final answer
    x = 4,844.64

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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.