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Finding the Fourth Proportional to 11,333.12, 17,000.16 and 6,947.84

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Solution

The fourth proportional to 11,333.12, 17,000.16 and 6,947.84 is: 10,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333.12 : 17,000.16 = 6,947.84 : x
  2. Step 2: Convert to fraction form
    11,333.12/17,000.16 = 6,947.84/x
  3. Step 3: Cross multiply
    11,333.12x = 17,000.16 × 6,947.84
  4. Step 4: Simplify right side
    11,333.12x = 118,114,391.65
  5. Step 5: Solve for x
    x = 118,114,391.65/11,333.12
  6. Step 6: Final answer
    x = 10,422.05

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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.