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Finding the Fourth Proportional to 6,196.71, 9,290.75 and 2,300.07

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Solution

The fourth proportional to 6,196.71, 9,290.75 and 2,300.07 is: 3,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.71 : 9,290.75 = 2,300.07 : x
  2. Step 2: Convert to fraction form
    6,196.71/9,290.75 = 2,300.07/x
  3. Step 3: Cross multiply
    6,196.71x = 9,290.75 × 2,300.07
  4. Step 4: Simplify right side
    6,196.71x = 21,369,363.85
  5. Step 5: Solve for x
    x = 21,369,363.85/6,196.71
  6. Step 6: Final answer
    x = 3,448.50

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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.