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Finding the Fourth Proportional to 6,509.60, 9,764.40 and 5,213.60

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Solution

The fourth proportional to 6,509.60, 9,764.40 and 5,213.60 is: 7,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.60 : 9,764.40 = 5,213.60 : x
  2. Step 2: Convert to fraction form
    6,509.60/9,764.40 = 5,213.60/x
  3. Step 3: Cross multiply
    6,509.60x = 9,764.40 × 5,213.60
  4. Step 4: Simplify right side
    6,509.60x = 50,907,675.84
  5. Step 5: Solve for x
    x = 50,907,675.84/6,509.60
  6. Step 6: Final answer
    x = 7,820.40

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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.