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Finding the Fourth Proportional to 6,074.21, 8,384.75 and 4,748.34

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Solution

The fourth proportional to 6,074.21, 8,384.75 and 4,748.34 is: 6,554.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.21 : 8,384.75 = 4,748.34 : x
  2. Step 2: Convert to fraction form
    6,074.21/8,384.75 = 4,748.34/x
  3. Step 3: Cross multiply
    6,074.21x = 8,384.75 × 4,748.34
  4. Step 4: Simplify right side
    6,074.21x = 39,813,620.07
  5. Step 5: Solve for x
    x = 39,813,620.07/6,074.21
  6. Step 6: Final answer
    x = 6,554.54

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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.