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Finding the Fourth Proportional to 6,097.56, 9,136.80 and 4,714.31

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Solution

The fourth proportional to 6,097.56, 9,136.80 and 4,714.31 is: 7,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.56 : 9,136.80 = 4,714.31 : x
  2. Step 2: Convert to fraction form
    6,097.56/9,136.80 = 4,714.31/x
  3. Step 3: Cross multiply
    6,097.56x = 9,136.80 × 4,714.31
  4. Step 4: Simplify right side
    6,097.56x = 43,073,661.92
  5. Step 5: Solve for x
    x = 43,073,661.92/6,097.56
  6. Step 6: Final answer
    x = 7,064.08

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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.