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Finding the Fourth Proportional to 13,160.48, 19,750.74 and 9,659.86

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Solution

The fourth proportional to 13,160.48, 19,750.74 and 9,659.86 is: 14,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160.48 : 19,750.74 = 9,659.86 : x
  2. Step 2: Convert to fraction form
    13,160.48/19,750.74 = 9,659.86/x
  3. Step 3: Cross multiply
    13,160.48x = 19,750.74 × 9,659.86
  4. Step 4: Simplify right side
    13,160.48x = 190,789,297.70
  5. Step 5: Solve for x
    x = 190,789,297.70/13,160.48
  6. Step 6: Final answer
    x = 14,497.14

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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.