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Finding the Fourth Proportional to 6,352.56, 8,764.98 and 3,698.40

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Solution

The fourth proportional to 6,352.56, 8,764.98 and 3,698.40 is: 5,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.56 : 8,764.98 = 3,698.40 : x
  2. Step 2: Convert to fraction form
    6,352.56/8,764.98 = 3,698.40/x
  3. Step 3: Cross multiply
    6,352.56x = 8,764.98 × 3,698.40
  4. Step 4: Simplify right side
    6,352.56x = 32,416,402.03
  5. Step 5: Solve for x
    x = 32,416,402.03/6,352.56
  6. Step 6: Final answer
    x = 5,102.89

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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.