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Finding the Fourth Proportional to 8,534, 11,770.44 and 5,885.84

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Solution

The fourth proportional to 8,534, 11,770.44 and 5,885.84 is: 8,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534 : 11,770.44 = 5,885.84 : x
  2. Step 2: Convert to fraction form
    8,534/11,770.44 = 5,885.84/x
  3. Step 3: Cross multiply
    8,534x = 11,770.44 × 5,885.84
  4. Step 4: Simplify right side
    8,534x = 69,278,926.57
  5. Step 5: Solve for x
    x = 69,278,926.57/8,534
  6. Step 6: Final answer
    x = 8,117.99

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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.