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Finding the Fourth Proportional to 6,504.58, 9,752.95 and 3,166.25

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Solution

The fourth proportional to 6,504.58, 9,752.95 and 3,166.25 is: 4,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.58 : 9,752.95 = 3,166.25 : x
  2. Step 2: Convert to fraction form
    6,504.58/9,752.95 = 3,166.25/x
  3. Step 3: Cross multiply
    6,504.58x = 9,752.95 × 3,166.25
  4. Step 4: Simplify right side
    6,504.58x = 30,880,233.13
  5. Step 5: Solve for x
    x = 30,880,233.13/6,504.58
  6. Step 6: Final answer
    x = 4,747.46

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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.