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Finding the Fourth Proportional to 10,153.83, 15,203.07 and 6,827.37

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Solution

The fourth proportional to 10,153.83, 15,203.07 and 6,827.37 is: 10,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.83 : 15,203.07 = 6,827.37 : x
  2. Step 2: Convert to fraction form
    10,153.83/15,203.07 = 6,827.37/x
  3. Step 3: Cross multiply
    10,153.83x = 15,203.07 × 6,827.37
  4. Step 4: Simplify right side
    10,153.83x = 103,796,961.26
  5. Step 5: Solve for x
    x = 103,796,961.26/10,153.83
  6. Step 6: Final answer
    x = 10,222.44

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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.