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Finding the Fourth Proportional to 6,416.62, 8,851.74 and 4,997.74

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Solution

The fourth proportional to 6,416.62, 8,851.74 and 4,997.74 is: 6,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.62 : 8,851.74 = 4,997.74 : x
  2. Step 2: Convert to fraction form
    6,416.62/8,851.74 = 4,997.74/x
  3. Step 3: Cross multiply
    6,416.62x = 8,851.74 × 4,997.74
  4. Step 4: Simplify right side
    6,416.62x = 44,238,695.07
  5. Step 5: Solve for x
    x = 44,238,695.07/6,416.62
  6. Step 6: Final answer
    x = 6,894.39

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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.