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Finding the Fourth Proportional to 10,662.87, 14,710.00 and 6,184.02

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Solution

The fourth proportional to 10,662.87, 14,710.00 and 6,184.02 is: 8,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.87 : 14,710.00 = 6,184.02 : x
  2. Step 2: Convert to fraction form
    10,662.87/14,710.00 = 6,184.02/x
  3. Step 3: Cross multiply
    10,662.87x = 14,710.00 × 6,184.02
  4. Step 4: Simplify right side
    10,662.87x = 90,966,986.44
  5. Step 5: Solve for x
    x = 90,966,986.44/10,662.87
  6. Step 6: Final answer
    x = 8,531.19

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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.