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Finding the Fourth Proportional to 6,206, 9,308.77 and 1,526.02

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Solution

The fourth proportional to 6,206, 9,308.77 and 1,526.02 is: 2,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206 : 9,308.77 = 1,526.02 : x
  2. Step 2: Convert to fraction form
    6,206/9,308.77 = 1,526.02/x
  3. Step 3: Cross multiply
    6,206x = 9,308.77 × 1,526.02
  4. Step 4: Simplify right side
    6,206x = 14,205,369.20
  5. Step 5: Solve for x
    x = 14,205,369.20/6,206
  6. Step 6: Final answer
    x = 2,288.97

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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.