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Finding the Fourth Proportional to 7,892.86, 11,838.08 and 4,962.22

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Solution

The fourth proportional to 7,892.86, 11,838.08 and 4,962.22 is: 7,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.86 : 11,838.08 = 4,962.22 : x
  2. Step 2: Convert to fraction form
    7,892.86/11,838.08 = 4,962.22/x
  3. Step 3: Cross multiply
    7,892.86x = 11,838.08 × 4,962.22
  4. Step 4: Simplify right side
    7,892.86x = 58,743,157.34
  5. Step 5: Solve for x
    x = 58,743,157.34/7,892.86
  6. Step 6: Final answer
    x = 7,442.57

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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.