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Finding the Fourth Proportional to 6,526, 9,005.88 and 4,042

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Solution

The fourth proportional to 6,526, 9,005.88 and 4,042 is: 5,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526 : 9,005.88 = 4,042 : x
  2. Step 2: Convert to fraction form
    6,526/9,005.88 = 4,042/x
  3. Step 3: Cross multiply
    6,526x = 9,005.88 × 4,042
  4. Step 4: Simplify right side
    6,526x = 36,401,766.96
  5. Step 5: Solve for x
    x = 36,401,766.96/6,526
  6. Step 6: Final answer
    x = 5,577.96

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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.