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Finding the Fourth Proportional to 6,509.54, 9,765.76 and 3,586.34

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Solution

The fourth proportional to 6,509.54, 9,765.76 and 3,586.34 is: 5,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.54 : 9,765.76 = 3,586.34 : x
  2. Step 2: Convert to fraction form
    6,509.54/9,765.76 = 3,586.34/x
  3. Step 3: Cross multiply
    6,509.54x = 9,765.76 × 3,586.34
  4. Step 4: Simplify right side
    6,509.54x = 35,023,335.72
  5. Step 5: Solve for x
    x = 35,023,335.72/6,509.54
  6. Step 6: Final answer
    x = 5,380.31

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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.