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Finding the Fourth Proportional to 7,571.64, 11,342.34 and 6,014.28

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Solution

The fourth proportional to 7,571.64, 11,342.34 and 6,014.28 is: 9,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.64 : 11,342.34 = 6,014.28 : x
  2. Step 2: Convert to fraction form
    7,571.64/11,342.34 = 6,014.28/x
  3. Step 3: Cross multiply
    7,571.64x = 11,342.34 × 6,014.28
  4. Step 4: Simplify right side
    7,571.64x = 68,216,008.62
  5. Step 5: Solve for x
    x = 68,216,008.62/7,571.64
  6. Step 6: Final answer
    x = 9,009.41

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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.