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Finding the Fourth Proportional to 7,673.85, 11,504.03 and 5,200.65

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Solution

The fourth proportional to 7,673.85, 11,504.03 and 5,200.65 is: 7,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.85 : 11,504.03 = 5,200.65 : x
  2. Step 2: Convert to fraction form
    7,673.85/11,504.03 = 5,200.65/x
  3. Step 3: Cross multiply
    7,673.85x = 11,504.03 × 5,200.65
  4. Step 4: Simplify right side
    7,673.85x = 59,828,407.62
  5. Step 5: Solve for x
    x = 59,828,407.62/7,673.85
  6. Step 6: Final answer
    x = 7,796.40

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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.