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Finding the Fourth Proportional to 6,564.54, 9,841.71 and 3,275.07

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Solution

The fourth proportional to 6,564.54, 9,841.71 and 3,275.07 is: 4,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.54 : 9,841.71 = 3,275.07 : x
  2. Step 2: Convert to fraction form
    6,564.54/9,841.71 = 3,275.07/x
  3. Step 3: Cross multiply
    6,564.54x = 9,841.71 × 3,275.07
  4. Step 4: Simplify right side
    6,564.54x = 32,232,289.17
  5. Step 5: Solve for x
    x = 32,232,289.17/6,564.54
  6. Step 6: Final answer
    x = 4,910.06

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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.