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Finding the Fourth Proportional to 11,758.53, 16,206.57 and 11,204.90

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Solution

The fourth proportional to 11,758.53, 16,206.57 and 11,204.90 is: 15,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.53 : 16,206.57 = 11,204.90 : x
  2. Step 2: Convert to fraction form
    11,758.53/16,206.57 = 11,204.90/x
  3. Step 3: Cross multiply
    11,758.53x = 16,206.57 × 11,204.90
  4. Step 4: Simplify right side
    11,758.53x = 181,592,915.16
  5. Step 5: Solve for x
    x = 181,592,915.16/11,758.53
  6. Step 6: Final answer
    x = 15,443.50

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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.