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Finding the Fourth Proportional to 9,774.67, 14,664.74 and 3,205.48

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Solution

The fourth proportional to 9,774.67, 14,664.74 and 3,205.48 is: 4,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.67 : 14,664.74 = 3,205.48 : x
  2. Step 2: Convert to fraction form
    9,774.67/14,664.74 = 3,205.48/x
  3. Step 3: Cross multiply
    9,774.67x = 14,664.74 × 3,205.48
  4. Step 4: Simplify right side
    9,774.67x = 47,007,530.78
  5. Step 5: Solve for x
    x = 47,007,530.78/9,774.67
  6. Step 6: Final answer
    x = 4,809.12

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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.