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Finding the Fourth Proportional to 9,237.84, 12,749.78 and 5,258.41

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Solution

The fourth proportional to 9,237.84, 12,749.78 and 5,258.41 is: 7,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.84 : 12,749.78 = 5,258.41 : x
  2. Step 2: Convert to fraction form
    9,237.84/12,749.78 = 5,258.41/x
  3. Step 3: Cross multiply
    9,237.84x = 12,749.78 × 5,258.41
  4. Step 4: Simplify right side
    9,237.84x = 67,043,570.65
  5. Step 5: Solve for x
    x = 67,043,570.65/9,237.84
  6. Step 6: Final answer
    x = 7,257.49

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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.