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Finding the Fourth Proportional to 6,089.65, 9,134.54 and 5,206.43

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Solution

The fourth proportional to 6,089.65, 9,134.54 and 5,206.43 is: 7,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.65 : 9,134.54 = 5,206.43 : x
  2. Step 2: Convert to fraction form
    6,089.65/9,134.54 = 5,206.43/x
  3. Step 3: Cross multiply
    6,089.65x = 9,134.54 × 5,206.43
  4. Step 4: Simplify right side
    6,089.65x = 47,558,343.09
  5. Step 5: Solve for x
    x = 47,558,343.09/6,089.65
  6. Step 6: Final answer
    x = 7,809.70

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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.