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Finding the Fourth Proportional to 6,653.47, 9,977.32 and 3,532.80

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Solution

The fourth proportional to 6,653.47, 9,977.32 and 3,532.80 is: 5,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653.47 : 9,977.32 = 3,532.80 : x
  2. Step 2: Convert to fraction form
    6,653.47/9,977.32 = 3,532.80/x
  3. Step 3: Cross multiply
    6,653.47x = 9,977.32 × 3,532.80
  4. Step 4: Simplify right side
    6,653.47x = 35,247,876.10
  5. Step 5: Solve for x
    x = 35,247,876.10/6,653.47
  6. Step 6: Final answer
    x = 5,297.67

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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.