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Finding the Fourth Proportional to 6,400.44, 9,590.94 and 4,749.26

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Solution

The fourth proportional to 6,400.44, 9,590.94 and 4,749.26 is: 7,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.44 : 9,590.94 = 4,749.26 : x
  2. Step 2: Convert to fraction form
    6,400.44/9,590.94 = 4,749.26/x
  3. Step 3: Cross multiply
    6,400.44x = 9,590.94 × 4,749.26
  4. Step 4: Simplify right side
    6,400.44x = 45,549,819.75
  5. Step 5: Solve for x
    x = 45,549,819.75/6,400.44
  6. Step 6: Final answer
    x = 7,116.67

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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.