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Finding the Fourth Proportional to 27,711, 38,242.80 and 15,774.84

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Solution

The fourth proportional to 27,711, 38,242.80 and 15,774.84 is: 21,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711 : 38,242.80 = 15,774.84 : x
  2. Step 2: Convert to fraction form
    27,711/38,242.80 = 15,774.84/x
  3. Step 3: Cross multiply
    27,711x = 38,242.80 × 15,774.84
  4. Step 4: Simplify right side
    27,711x = 603,274,051.15
  5. Step 5: Solve for x
    x = 603,274,051.15/27,711
  6. Step 6: Final answer
    x = 21,770.20

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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.