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Finding the Fourth Proportional to 15,922.05, 21,971.86 and 8,848

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Solution

The fourth proportional to 15,922.05, 21,971.86 and 8,848 is: 12,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.05 : 21,971.86 = 8,848 : x
  2. Step 2: Convert to fraction form
    15,922.05/21,971.86 = 8,848/x
  3. Step 3: Cross multiply
    15,922.05x = 21,971.86 × 8,848
  4. Step 4: Simplify right side
    15,922.05x = 194,407,017.28
  5. Step 5: Solve for x
    x = 194,407,017.28/15,922.05
  6. Step 6: Final answer
    x = 12,209.92

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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.