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Finding the Fourth Proportional to 13,194.54, 19,792.06 and 6,170.67

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Solution

The fourth proportional to 13,194.54, 19,792.06 and 6,170.67 is: 9,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.54 : 19,792.06 = 6,170.67 : x
  2. Step 2: Convert to fraction form
    13,194.54/19,792.06 = 6,170.67/x
  3. Step 3: Cross multiply
    13,194.54x = 19,792.06 × 6,170.67
  4. Step 4: Simplify right side
    13,194.54x = 122,130,255.45
  5. Step 5: Solve for x
    x = 122,130,255.45/13,194.54
  6. Step 6: Final answer
    x = 9,256.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.