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Finding the Fourth Proportional to 11,506.06, 15,869.24 and 7,468.48

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Solution

The fourth proportional to 11,506.06, 15,869.24 and 7,468.48 is: 10,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.06 : 15,869.24 = 7,468.48 : x
  2. Step 2: Convert to fraction form
    11,506.06/15,869.24 = 7,468.48/x
  3. Step 3: Cross multiply
    11,506.06x = 15,869.24 × 7,468.48
  4. Step 4: Simplify right side
    11,506.06x = 118,519,101.56
  5. Step 5: Solve for x
    x = 118,519,101.56/11,506.06
  6. Step 6: Final answer
    x = 10,300.58

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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.