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Finding the Fourth Proportional to 6,416.99, 8,857.80 and 3,766.62

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Solution

The fourth proportional to 6,416.99, 8,857.80 and 3,766.62 is: 5,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.99 : 8,857.80 = 3,766.62 : x
  2. Step 2: Convert to fraction form
    6,416.99/8,857.80 = 3,766.62/x
  3. Step 3: Cross multiply
    6,416.99x = 8,857.80 × 3,766.62
  4. Step 4: Simplify right side
    6,416.99x = 33,363,966.64
  5. Step 5: Solve for x
    x = 33,363,966.64/6,416.99
  6. Step 6: Final answer
    x = 5,199.32

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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.