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Finding the Fourth Proportional to 11,056, 15,270.24 and 7,323.52

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Solution

The fourth proportional to 11,056, 15,270.24 and 7,323.52 is: 10,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,056 : 15,270.24 = 7,323.52 : x
  2. Step 2: Convert to fraction form
    11,056/15,270.24 = 7,323.52/x
  3. Step 3: Cross multiply
    11,056x = 15,270.24 × 7,323.52
  4. Step 4: Simplify right side
    11,056x = 111,831,908.04
  5. Step 5: Solve for x
    x = 111,831,908.04/11,056
  6. Step 6: Final answer
    x = 10,115.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.