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Finding the Fourth Proportional to 9,809.76, 14,714.31 and 4,263.10

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Solution

The fourth proportional to 9,809.76, 14,714.31 and 4,263.10 is: 6,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.76 : 14,714.31 = 4,263.10 : x
  2. Step 2: Convert to fraction form
    9,809.76/14,714.31 = 4,263.10/x
  3. Step 3: Cross multiply
    9,809.76x = 14,714.31 × 4,263.10
  4. Step 4: Simplify right side
    9,809.76x = 62,728,589.47
  5. Step 5: Solve for x
    x = 62,728,589.47/9,809.76
  6. Step 6: Final answer
    x = 6,394.51

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Double scale
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1.5x scale

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.