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Finding the Fourth Proportional to 10,515, 15,772.46 and 7,218.08

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Solution

The fourth proportional to 10,515, 15,772.46 and 7,218.08 is: 10,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515 : 15,772.46 = 7,218.08 : x
  2. Step 2: Convert to fraction form
    10,515/15,772.46 = 7,218.08/x
  3. Step 3: Cross multiply
    10,515x = 15,772.46 × 7,218.08
  4. Step 4: Simplify right side
    10,515x = 113,846,878.08
  5. Step 5: Solve for x
    x = 113,846,878.08/10,515
  6. Step 6: Final answer
    x = 10,827.09

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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.