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Finding the Fourth Proportional to 6,544.62, 9,810.07 and 3,208.28

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Solution

The fourth proportional to 6,544.62, 9,810.07 and 3,208.28 is: 4,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.62 : 9,810.07 = 3,208.28 : x
  2. Step 2: Convert to fraction form
    6,544.62/9,810.07 = 3,208.28/x
  3. Step 3: Cross multiply
    6,544.62x = 9,810.07 × 3,208.28
  4. Step 4: Simplify right side
    6,544.62x = 31,473,394.31
  5. Step 5: Solve for x
    x = 31,473,394.31/6,544.62
  6. Step 6: Final answer
    x = 4,809.05

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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.