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Finding the Fourth Proportional to 13,792.88, 19,035.08 and 7,822.48

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Solution

The fourth proportional to 13,792.88, 19,035.08 and 7,822.48 is: 10,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.88 : 19,035.08 = 7,822.48 : x
  2. Step 2: Convert to fraction form
    13,792.88/19,035.08 = 7,822.48/x
  3. Step 3: Cross multiply
    13,792.88x = 19,035.08 × 7,822.48
  4. Step 4: Simplify right side
    13,792.88x = 148,901,532.60
  5. Step 5: Solve for x
    x = 148,901,532.60/13,792.88
  6. Step 6: Final answer
    x = 10,795.54

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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.