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Finding the Fourth Proportional to 11,477.70, 17,202.20 and 4,896.20

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Solution

The fourth proportional to 11,477.70, 17,202.20 and 4,896.20 is: 7,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.70 : 17,202.20 = 4,896.20 : x
  2. Step 2: Convert to fraction form
    11,477.70/17,202.20 = 4,896.20/x
  3. Step 3: Cross multiply
    11,477.70x = 17,202.20 × 4,896.20
  4. Step 4: Simplify right side
    11,477.70x = 84,225,411.64
  5. Step 5: Solve for x
    x = 84,225,411.64/11,477.70
  6. Step 6: Final answer
    x = 7,338.18

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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.