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Finding the Fourth Proportional to 21,089, 29,100.30 and 11,656.28

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Solution

The fourth proportional to 21,089, 29,100.30 and 11,656.28 is: 16,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,089 : 29,100.30 = 11,656.28 : x
  2. Step 2: Convert to fraction form
    21,089/29,100.30 = 11,656.28/x
  3. Step 3: Cross multiply
    21,089x = 29,100.30 × 11,656.28
  4. Step 4: Simplify right side
    21,089x = 339,201,244.88
  5. Step 5: Solve for x
    x = 339,201,244.88/21,089
  6. Step 6: Final answer
    x = 16,084.27

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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.