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Finding the Fourth Proportional to 6,470.78, 9,705.88 and 1,853.78

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Solution

The fourth proportional to 6,470.78, 9,705.88 and 1,853.78 is: 2,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.78 : 9,705.88 = 1,853.78 : x
  2. Step 2: Convert to fraction form
    6,470.78/9,705.88 = 1,853.78/x
  3. Step 3: Cross multiply
    6,470.78x = 9,705.88 × 1,853.78
  4. Step 4: Simplify right side
    6,470.78x = 17,992,566.23
  5. Step 5: Solve for x
    x = 17,992,566.23/6,470.78
  6. Step 6: Final answer
    x = 2,780.59

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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.