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Finding the Fourth Proportional to 7,049.74, 9,738.16 and 6,551.60

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Solution

The fourth proportional to 7,049.74, 9,738.16 and 6,551.60 is: 9,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.74 : 9,738.16 = 6,551.60 : x
  2. Step 2: Convert to fraction form
    7,049.74/9,738.16 = 6,551.60/x
  3. Step 3: Cross multiply
    7,049.74x = 9,738.16 × 6,551.60
  4. Step 4: Simplify right side
    7,049.74x = 63,800,529.06
  5. Step 5: Solve for x
    x = 63,800,529.06/7,049.74
  6. Step 6: Final answer
    x = 9,050.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.