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Finding the Fourth Proportional to 11,507.78, 17,236.38 and 9,510.78

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Solution

The fourth proportional to 11,507.78, 17,236.38 and 9,510.78 is: 14,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.78 : 17,236.38 = 9,510.78 : x
  2. Step 2: Convert to fraction form
    11,507.78/17,236.38 = 9,510.78/x
  3. Step 3: Cross multiply
    11,507.78x = 17,236.38 × 9,510.78
  4. Step 4: Simplify right side
    11,507.78x = 163,931,418.18
  5. Step 5: Solve for x
    x = 163,931,418.18/11,507.78
  6. Step 6: Final answer
    x = 14,245.27

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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.