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Finding the Fourth Proportional to 6,577.87, 9,852.78 and 5,323.09

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Solution

The fourth proportional to 6,577.87, 9,852.78 and 5,323.09 is: 7,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.87 : 9,852.78 = 5,323.09 : x
  2. Step 2: Convert to fraction form
    6,577.87/9,852.78 = 5,323.09/x
  3. Step 3: Cross multiply
    6,577.87x = 9,852.78 × 5,323.09
  4. Step 4: Simplify right side
    6,577.87x = 52,447,234.69
  5. Step 5: Solve for x
    x = 52,447,234.69/6,577.87
  6. Step 6: Final answer
    x = 7,973.29

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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.