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Finding the Fourth Proportional to 9,774.68, 14,664.75 and 3,205.49

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Solution

The fourth proportional to 9,774.68, 14,664.75 and 3,205.49 is: 4,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.68 : 14,664.75 = 3,205.49 : x
  2. Step 2: Convert to fraction form
    9,774.68/14,664.75 = 3,205.49/x
  3. Step 3: Cross multiply
    9,774.68x = 14,664.75 × 3,205.49
  4. Step 4: Simplify right side
    9,774.68x = 47,007,709.48
  5. Step 5: Solve for x
    x = 47,007,709.48/9,774.68
  6. Step 6: Final answer
    x = 4,809.13

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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.