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Finding the Fourth Proportional to 10,282.34, 14,185.94 and 6,504.10

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Solution

The fourth proportional to 10,282.34, 14,185.94 and 6,504.10 is: 8,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.34 : 14,185.94 = 6,504.10 : x
  2. Step 2: Convert to fraction form
    10,282.34/14,185.94 = 6,504.10/x
  3. Step 3: Cross multiply
    10,282.34x = 14,185.94 × 6,504.10
  4. Step 4: Simplify right side
    10,282.34x = 92,266,704.37
  5. Step 5: Solve for x
    x = 92,266,704.37/10,282.34
  6. Step 6: Final answer
    x = 8,973.32

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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.