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Finding the Fourth Proportional to 9,236.84, 12,748.40 and 5,257.41

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Solution

The fourth proportional to 9,236.84, 12,748.40 and 5,257.41 is: 7,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.84 : 12,748.40 = 5,257.41 : x
  2. Step 2: Convert to fraction form
    9,236.84/12,748.40 = 5,257.41/x
  3. Step 3: Cross multiply
    9,236.84x = 12,748.40 × 5,257.41
  4. Step 4: Simplify right side
    9,236.84x = 67,023,559.07
  5. Step 5: Solve for x
    x = 67,023,559.07/9,236.84
  6. Step 6: Final answer
    x = 7,256.11

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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.