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Finding the Fourth Proportional to 6,509.06, 8,997.61 and 5,807.84

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Solution

The fourth proportional to 6,509.06, 8,997.61 and 5,807.84 is: 8,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.06 : 8,997.61 = 5,807.84 : x
  2. Step 2: Convert to fraction form
    6,509.06/8,997.61 = 5,807.84/x
  3. Step 3: Cross multiply
    6,509.06x = 8,997.61 × 5,807.84
  4. Step 4: Simplify right side
    6,509.06x = 52,256,679.26
  5. Step 5: Solve for x
    x = 52,256,679.26/6,509.06
  6. Step 6: Final answer
    x = 8,028.31

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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.