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Finding the Fourth Proportional to 13,792.78, 19,034.43 and 7,505.58

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Solution

The fourth proportional to 13,792.78, 19,034.43 and 7,505.58 is: 10,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.78 : 19,034.43 = 7,505.58 : x
  2. Step 2: Convert to fraction form
    13,792.78/19,034.43 = 7,505.58/x
  3. Step 3: Cross multiply
    13,792.78x = 19,034.43 × 7,505.58
  4. Step 4: Simplify right side
    13,792.78x = 142,864,437.12
  5. Step 5: Solve for x
    x = 142,864,437.12/13,792.78
  6. Step 6: Final answer
    x = 10,357.91

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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.