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Finding the Fourth Proportional to 6,533.74, 9,788.26 and 5,065.70

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Solution

The fourth proportional to 6,533.74, 9,788.26 and 5,065.70 is: 7,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.74 : 9,788.26 = 5,065.70 : x
  2. Step 2: Convert to fraction form
    6,533.74/9,788.26 = 5,065.70/x
  3. Step 3: Cross multiply
    6,533.74x = 9,788.26 × 5,065.70
  4. Step 4: Simplify right side
    6,533.74x = 49,584,388.68
  5. Step 5: Solve for x
    x = 49,584,388.68/6,533.74
  6. Step 6: Final answer
    x = 7,588.97

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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.