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Finding the Fourth Proportional to 9,579.84, 14,369.72 and 3,006.52

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Solution

The fourth proportional to 9,579.84, 14,369.72 and 3,006.52 is: 4,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.84 : 14,369.72 = 3,006.52 : x
  2. Step 2: Convert to fraction form
    9,579.84/14,369.72 = 3,006.52/x
  3. Step 3: Cross multiply
    9,579.84x = 14,369.72 × 3,006.52
  4. Step 4: Simplify right side
    9,579.84x = 43,202,850.57
  5. Step 5: Solve for x
    x = 43,202,850.57/9,579.84
  6. Step 6: Final answer
    x = 4,509.77

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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.