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Finding the Fourth Proportional to 19,577, 27,016.29 and 11,193.68

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Solution

The fourth proportional to 19,577, 27,016.29 and 11,193.68 is: 15,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577 : 27,016.29 = 11,193.68 : x
  2. Step 2: Convert to fraction form
    19,577/27,016.29 = 11,193.68/x
  3. Step 3: Cross multiply
    19,577x = 27,016.29 × 11,193.68
  4. Step 4: Simplify right side
    19,577x = 302,411,705.05
  5. Step 5: Solve for x
    x = 302,411,705.05/19,577
  6. Step 6: Final answer
    x = 15,447.30

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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.