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Finding the Fourth Proportional to 6,853.65, 9,452.22 and 5,259.78

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Solution

The fourth proportional to 6,853.65, 9,452.22 and 5,259.78 is: 7,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.65 : 9,452.22 = 5,259.78 : x
  2. Step 2: Convert to fraction form
    6,853.65/9,452.22 = 5,259.78/x
  3. Step 3: Cross multiply
    6,853.65x = 9,452.22 × 5,259.78
  4. Step 4: Simplify right side
    6,853.65x = 49,716,597.71
  5. Step 5: Solve for x
    x = 49,716,597.71/6,853.65
  6. Step 6: Final answer
    x = 7,254.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.