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Finding the Fourth Proportional to 6,310.36, 9,465.18 and 1,693

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Solution

The fourth proportional to 6,310.36, 9,465.18 and 1,693 is: 2,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.36 : 9,465.18 = 1,693 : x
  2. Step 2: Convert to fraction form
    6,310.36/9,465.18 = 1,693/x
  3. Step 3: Cross multiply
    6,310.36x = 9,465.18 × 1,693
  4. Step 4: Simplify right side
    6,310.36x = 16,024,549.74
  5. Step 5: Solve for x
    x = 16,024,549.74/6,310.36
  6. Step 6: Final answer
    x = 2,539.40

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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.