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Finding the Fourth Proportional to 9,696.13, 14,544.30 and 3,122.30

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Solution

The fourth proportional to 9,696.13, 14,544.30 and 3,122.30 is: 4,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.13 : 14,544.30 = 3,122.30 : x
  2. Step 2: Convert to fraction form
    9,696.13/14,544.30 = 3,122.30/x
  3. Step 3: Cross multiply
    9,696.13x = 14,544.30 × 3,122.30
  4. Step 4: Simplify right side
    9,696.13x = 45,411,667.89
  5. Step 5: Solve for x
    x = 45,411,667.89/9,696.13
  6. Step 6: Final answer
    x = 4,683.48

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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.