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Finding the Fourth Proportional to 13,792.38, 19,033.47 and 7,504.74

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Solution

The fourth proportional to 13,792.38, 19,033.47 and 7,504.74 is: 10,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.38 : 19,033.47 = 7,504.74 : x
  2. Step 2: Convert to fraction form
    13,792.38/19,033.47 = 7,504.74/x
  3. Step 3: Cross multiply
    13,792.38x = 19,033.47 × 7,504.74
  4. Step 4: Simplify right side
    13,792.38x = 142,841,243.65
  5. Step 5: Solve for x
    x = 142,841,243.65/13,792.38
  6. Step 6: Final answer
    x = 10,356.53

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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.