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Finding the Fourth Proportional to 6,756.64, 10,119.30 and 6,523.12

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Solution

The fourth proportional to 6,756.64, 10,119.30 and 6,523.12 is: 9,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.64 : 10,119.30 = 6,523.12 : x
  2. Step 2: Convert to fraction form
    6,756.64/10,119.30 = 6,523.12/x
  3. Step 3: Cross multiply
    6,756.64x = 10,119.30 × 6,523.12
  4. Step 4: Simplify right side
    6,756.64x = 66,009,408.22
  5. Step 5: Solve for x
    x = 66,009,408.22/6,756.64
  6. Step 6: Final answer
    x = 9,769.56

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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.