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Finding the Fourth Proportional to 6,495.74, 9,722.00 and 5,188.22

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Solution

The fourth proportional to 6,495.74, 9,722.00 and 5,188.22 is: 7,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.74 : 9,722.00 = 5,188.22 : x
  2. Step 2: Convert to fraction form
    6,495.74/9,722.00 = 5,188.22/x
  3. Step 3: Cross multiply
    6,495.74x = 9,722.00 × 5,188.22
  4. Step 4: Simplify right side
    6,495.74x = 50,439,839.20
  5. Step 5: Solve for x
    x = 50,439,839.20/6,495.74
  6. Step 6: Final answer
    x = 7,765.07

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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.