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Finding the Fourth Proportional to 6,549.89, 9,824.94 and 3,646.65

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Solution

The fourth proportional to 6,549.89, 9,824.94 and 3,646.65 is: 5,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.89 : 9,824.94 = 3,646.65 : x
  2. Step 2: Convert to fraction form
    6,549.89/9,824.94 = 3,646.65/x
  3. Step 3: Cross multiply
    6,549.89x = 9,824.94 × 3,646.65
  4. Step 4: Simplify right side
    6,549.89x = 35,828,099.22
  5. Step 5: Solve for x
    x = 35,828,099.22/6,549.89
  6. Step 6: Final answer
    x = 5,470.03

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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.