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Finding the Fourth Proportional to 6,509.77, 9,764.62 and 1,579.43

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Solution

The fourth proportional to 6,509.77, 9,764.62 and 1,579.43 is: 2,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.77 : 9,764.62 = 1,579.43 : x
  2. Step 2: Convert to fraction form
    6,509.77/9,764.62 = 1,579.43/x
  3. Step 3: Cross multiply
    6,509.77x = 9,764.62 × 1,579.43
  4. Step 4: Simplify right side
    6,509.77x = 15,422,554.23
  5. Step 5: Solve for x
    x = 15,422,554.23/6,509.77
  6. Step 6: Final answer
    x = 2,369.14

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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.