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Finding the Fourth Proportional to 6,566.54, 9,825.21 and 3,646.89

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Solution

The fourth proportional to 6,566.54, 9,825.21 and 3,646.89 is: 5,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.54 : 9,825.21 = 3,646.89 : x
  2. Step 2: Convert to fraction form
    6,566.54/9,825.21 = 3,646.89/x
  3. Step 3: Cross multiply
    6,566.54x = 9,825.21 × 3,646.89
  4. Step 4: Simplify right side
    6,566.54x = 35,831,460.10
  5. Step 5: Solve for x
    x = 35,831,460.10/6,566.54
  6. Step 6: Final answer
    x = 5,456.68

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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.