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Finding the Fourth Proportional to 6,530.49, 9,802.62 and 3,897.99

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Solution

The fourth proportional to 6,530.49, 9,802.62 and 3,897.99 is: 5,851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.49 : 9,802.62 = 3,897.99 : x
  2. Step 2: Convert to fraction form
    6,530.49/9,802.62 = 3,897.99/x
  3. Step 3: Cross multiply
    6,530.49x = 9,802.62 × 3,897.99
  4. Step 4: Simplify right side
    6,530.49x = 38,210,514.73
  5. Step 5: Solve for x
    x = 38,210,514.73/6,530.49
  6. Step 6: Final answer
    x = 5,851.09

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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.