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Finding the Fourth Proportional to 6,554.93, 9,826.87 and 5,441.23

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Solution

The fourth proportional to 6,554.93, 9,826.87 and 5,441.23 is: 8,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.93 : 9,826.87 = 5,441.23 : x
  2. Step 2: Convert to fraction form
    6,554.93/9,826.87 = 5,441.23/x
  3. Step 3: Cross multiply
    6,554.93x = 9,826.87 × 5,441.23
  4. Step 4: Simplify right side
    6,554.93x = 53,470,213.46
  5. Step 5: Solve for x
    x = 53,470,213.46/6,554.93
  6. Step 6: Final answer
    x = 8,157.26

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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.