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Finding the Fourth Proportional to 9,809.63, 14,714.50 and 3,147.14

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Solution

The fourth proportional to 9,809.63, 14,714.50 and 3,147.14 is: 4,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.63 : 14,714.50 = 3,147.14 : x
  2. Step 2: Convert to fraction form
    9,809.63/14,714.50 = 3,147.14/x
  3. Step 3: Cross multiply
    9,809.63x = 14,714.50 × 3,147.14
  4. Step 4: Simplify right side
    9,809.63x = 46,308,559.07
  5. Step 5: Solve for x
    x = 46,308,559.07/9,809.63
  6. Step 6: Final answer
    x = 4,720.73

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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.