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Finding the Fourth Proportional to 6,693.14, 10,038.84 and 1,763.15

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Solution

The fourth proportional to 6,693.14, 10,038.84 and 1,763.15 is: 2,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.14 : 10,038.84 = 1,763.15 : x
  2. Step 2: Convert to fraction form
    6,693.14/10,038.84 = 1,763.15/x
  3. Step 3: Cross multiply
    6,693.14x = 10,038.84 × 1,763.15
  4. Step 4: Simplify right side
    6,693.14x = 17,700,005.84
  5. Step 5: Solve for x
    x = 17,700,005.84/6,693.14
  6. Step 6: Final answer
    x = 2,644.50

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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.