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Finding the Fourth Proportional to 13,798.23, 19,040.88 and 7,829.76

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Solution

The fourth proportional to 13,798.23, 19,040.88 and 7,829.76 is: 10,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.23 : 19,040.88 = 7,829.76 : x
  2. Step 2: Convert to fraction form
    13,798.23/19,040.88 = 7,829.76/x
  3. Step 3: Cross multiply
    13,798.23x = 19,040.88 × 7,829.76
  4. Step 4: Simplify right side
    13,798.23x = 149,085,520.59
  5. Step 5: Solve for x
    x = 149,085,520.59/13,798.23
  6. Step 6: Final answer
    x = 10,804.68

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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.