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Finding the Fourth Proportional to 6,681.64, 10,023.42 and 2,065

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Solution

The fourth proportional to 6,681.64, 10,023.42 and 2,065 is: 3,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.64 : 10,023.42 = 2,065 : x
  2. Step 2: Convert to fraction form
    6,681.64/10,023.42 = 2,065/x
  3. Step 3: Cross multiply
    6,681.64x = 10,023.42 × 2,065
  4. Step 4: Simplify right side
    6,681.64x = 20,698,362.30
  5. Step 5: Solve for x
    x = 20,698,362.30/6,681.64
  6. Step 6: Final answer
    x = 3,097.80

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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.