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Finding the Fourth Proportional to 13,842.70, 19,101.19 and 7,792.20

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Solution

The fourth proportional to 13,842.70, 19,101.19 and 7,792.20 is: 10,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.70 : 19,101.19 = 7,792.20 : x
  2. Step 2: Convert to fraction form
    13,842.70/19,101.19 = 7,792.20/x
  3. Step 3: Cross multiply
    13,842.70x = 19,101.19 × 7,792.20
  4. Step 4: Simplify right side
    13,842.70x = 148,840,292.72
  5. Step 5: Solve for x
    x = 148,840,292.72/13,842.70
  6. Step 6: Final answer
    x = 10,752.26

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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.