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Finding the Fourth Proportional to 6,523.60, 9,738.04 and 6,043

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Solution

The fourth proportional to 6,523.60, 9,738.04 and 6,043 is: 9,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.60 : 9,738.04 = 6,043 : x
  2. Step 2: Convert to fraction form
    6,523.60/9,738.04 = 6,043/x
  3. Step 3: Cross multiply
    6,523.60x = 9,738.04 × 6,043
  4. Step 4: Simplify right side
    6,523.60x = 58,846,975.72
  5. Step 5: Solve for x
    x = 58,846,975.72/6,523.60
  6. Step 6: Final answer
    x = 9,020.63

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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.