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Finding the Fourth Proportional to 9,758.73, 14,638.05 and 3,184.89

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Solution

The fourth proportional to 9,758.73, 14,638.05 and 3,184.89 is: 4,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.73 : 14,638.05 = 3,184.89 : x
  2. Step 2: Convert to fraction form
    9,758.73/14,638.05 = 3,184.89/x
  3. Step 3: Cross multiply
    9,758.73x = 14,638.05 × 3,184.89
  4. Step 4: Simplify right side
    9,758.73x = 46,620,579.06
  5. Step 5: Solve for x
    x = 46,620,579.06/9,758.73
  6. Step 6: Final answer
    x = 4,777.32

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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.