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Finding the Fourth Proportional to 6,364.20, 9,547.20 and 2,469

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Solution

The fourth proportional to 6,364.20, 9,547.20 and 2,469 is: 3,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.20 : 9,547.20 = 2,469 : x
  2. Step 2: Convert to fraction form
    6,364.20/9,547.20 = 2,469/x
  3. Step 3: Cross multiply
    6,364.20x = 9,547.20 × 2,469
  4. Step 4: Simplify right side
    6,364.20x = 23,572,036.80
  5. Step 5: Solve for x
    x = 23,572,036.80/6,364.20
  6. Step 6: Final answer
    x = 3,703.85

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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.