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Finding the Fourth Proportional to 6,523.60, 9,737.66 and 5,605.06

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Solution

The fourth proportional to 6,523.60, 9,737.66 and 5,605.06 is: 8,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.60 : 9,737.66 = 5,605.06 : x
  2. Step 2: Convert to fraction form
    6,523.60/9,737.66 = 5,605.06/x
  3. Step 3: Cross multiply
    6,523.60x = 9,737.66 × 5,605.06
  4. Step 4: Simplify right side
    6,523.60x = 54,580,168.56
  5. Step 5: Solve for x
    x = 54,580,168.56/6,523.60
  6. Step 6: Final answer
    x = 8,366.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.