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Finding the Fourth Proportional to 6,416.87, 8,852.76 and 3,763.31

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Solution

The fourth proportional to 6,416.87, 8,852.76 and 3,763.31 is: 5,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.87 : 8,852.76 = 3,763.31 : x
  2. Step 2: Convert to fraction form
    6,416.87/8,852.76 = 3,763.31/x
  3. Step 3: Cross multiply
    6,416.87x = 8,852.76 × 3,763.31
  4. Step 4: Simplify right side
    6,416.87x = 33,315,680.24
  5. Step 5: Solve for x
    x = 33,315,680.24/6,416.87
  6. Step 6: Final answer
    x = 5,191.89

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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.