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Finding the Fourth Proportional to 6,544.86, 9,807.72 and 4,072.17

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Solution

The fourth proportional to 6,544.86, 9,807.72 and 4,072.17 is: 6,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.86 : 9,807.72 = 4,072.17 : x
  2. Step 2: Convert to fraction form
    6,544.86/9,807.72 = 4,072.17/x
  3. Step 3: Cross multiply
    6,544.86x = 9,807.72 × 4,072.17
  4. Step 4: Simplify right side
    6,544.86x = 39,938,703.15
  5. Step 5: Solve for x
    x = 39,938,703.15/6,544.86
  6. Step 6: Final answer
    x = 6,102.30

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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.