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Finding the Fourth Proportional to 6,283.50, 9,422.80 and 3,360.20

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Solution

The fourth proportional to 6,283.50, 9,422.80 and 3,360.20 is: 5,038.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.50 : 9,422.80 = 3,360.20 : x
  2. Step 2: Convert to fraction form
    6,283.50/9,422.80 = 3,360.20/x
  3. Step 3: Cross multiply
    6,283.50x = 9,422.80 × 3,360.20
  4. Step 4: Simplify right side
    6,283.50x = 31,662,492.56
  5. Step 5: Solve for x
    x = 31,662,492.56/6,283.50
  6. Step 6: Final answer
    x = 5,038.99

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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.