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Finding the Fourth Proportional to 6,705.60, 10,064.80 and 5,732.80

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Solution

The fourth proportional to 6,705.60, 10,064.80 and 5,732.80 is: 8,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.60 : 10,064.80 = 5,732.80 : x
  2. Step 2: Convert to fraction form
    6,705.60/10,064.80 = 5,732.80/x
  3. Step 3: Cross multiply
    6,705.60x = 10,064.80 × 5,732.80
  4. Step 4: Simplify right side
    6,705.60x = 57,699,485.44
  5. Step 5: Solve for x
    x = 57,699,485.44/6,705.60
  6. Step 6: Final answer
    x = 8,604.67

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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.