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Finding the Fourth Proportional to 13,184.76, 19,778.76 and 6,161.16

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Solution

The fourth proportional to 13,184.76, 19,778.76 and 6,161.16 is: 9,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.76 : 19,778.76 = 6,161.16 : x
  2. Step 2: Convert to fraction form
    13,184.76/19,778.76 = 6,161.16/x
  3. Step 3: Cross multiply
    13,184.76x = 19,778.76 × 6,161.16
  4. Step 4: Simplify right side
    13,184.76x = 121,860,104.96
  5. Step 5: Solve for x
    x = 121,860,104.96/13,184.76
  6. Step 6: Final answer
    x = 9,242.50

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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.