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Finding the Fourth Proportional to 12,962.50, 19,460.09 and 11,027.01

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Solution

The fourth proportional to 12,962.50, 19,460.09 and 11,027.01 is: 16,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.50 : 19,460.09 = 11,027.01 : x
  2. Step 2: Convert to fraction form
    12,962.50/19,460.09 = 11,027.01/x
  3. Step 3: Cross multiply
    12,962.50x = 19,460.09 × 11,027.01
  4. Step 4: Simplify right side
    12,962.50x = 214,586,607.03
  5. Step 5: Solve for x
    x = 214,586,607.03/12,962.50
  6. Step 6: Final answer
    x = 16,554.42

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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.