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Finding the Fourth Proportional to 6,577.81, 9,866.72 and 4,824.70

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Solution

The fourth proportional to 6,577.81, 9,866.72 and 4,824.70 is: 7,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.81 : 9,866.72 = 4,824.70 : x
  2. Step 2: Convert to fraction form
    6,577.81/9,866.72 = 4,824.70/x
  3. Step 3: Cross multiply
    6,577.81x = 9,866.72 × 4,824.70
  4. Step 4: Simplify right side
    6,577.81x = 47,603,963.98
  5. Step 5: Solve for x
    x = 47,603,963.98/6,577.81
  6. Step 6: Final answer
    x = 7,237.05

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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.