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Finding the Fourth Proportional to 13,333, 20,011.56 and 7,098.24

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Solution

The fourth proportional to 13,333, 20,011.56 and 7,098.24 is: 10,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333 : 20,011.56 = 7,098.24 : x
  2. Step 2: Convert to fraction form
    13,333/20,011.56 = 7,098.24/x
  3. Step 3: Cross multiply
    13,333x = 20,011.56 × 7,098.24
  4. Step 4: Simplify right side
    13,333x = 142,046,855.65
  5. Step 5: Solve for x
    x = 142,046,855.65/13,333
  6. Step 6: Final answer
    x = 10,653.78

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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.