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Finding the Fourth Proportional to 7,684.86, 11,524.86 and 4,349.04

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Solution

The fourth proportional to 7,684.86, 11,524.86 and 4,349.04 is: 6,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.86 : 11,524.86 = 4,349.04 : x
  2. Step 2: Convert to fraction form
    7,684.86/11,524.86 = 4,349.04/x
  3. Step 3: Cross multiply
    7,684.86x = 11,524.86 × 4,349.04
  4. Step 4: Simplify right side
    7,684.86x = 50,122,077.13
  5. Step 5: Solve for x
    x = 50,122,077.13/7,684.86
  6. Step 6: Final answer
    x = 6,522.18

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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.