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Finding the Fourth Proportional to 6,518.12, 8,995.05 and 3,534

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Solution

The fourth proportional to 6,518.12, 8,995.05 and 3,534 is: 4,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.12 : 8,995.05 = 3,534 : x
  2. Step 2: Convert to fraction form
    6,518.12/8,995.05 = 3,534/x
  3. Step 3: Cross multiply
    6,518.12x = 8,995.05 × 3,534
  4. Step 4: Simplify right side
    6,518.12x = 31,788,506.70
  5. Step 5: Solve for x
    x = 31,788,506.70/6,518.12
  6. Step 6: Final answer
    x = 4,876.94

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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.