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Finding the Fourth Proportional to 6,523.02, 9,784.53 and 5,366.34

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Solution

The fourth proportional to 6,523.02, 9,784.53 and 5,366.34 is: 8,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.02 : 9,784.53 = 5,366.34 : x
  2. Step 2: Convert to fraction form
    6,523.02/9,784.53 = 5,366.34/x
  3. Step 3: Cross multiply
    6,523.02x = 9,784.53 × 5,366.34
  4. Step 4: Simplify right side
    6,523.02x = 52,507,114.72
  5. Step 5: Solve for x
    x = 52,507,114.72/6,523.02
  6. Step 6: Final answer
    x = 8,049.51

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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.