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Finding the Fourth Proportional to 13,794.93, 19,037.52 and 7,827.75

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Solution

The fourth proportional to 13,794.93, 19,037.52 and 7,827.75 is: 10,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.93 : 19,037.52 = 7,827.75 : x
  2. Step 2: Convert to fraction form
    13,794.93/19,037.52 = 7,827.75/x
  3. Step 3: Cross multiply
    13,794.93x = 19,037.52 × 7,827.75
  4. Step 4: Simplify right side
    13,794.93x = 149,020,947.18
  5. Step 5: Solve for x
    x = 149,020,947.18/13,794.93
  6. Step 6: Final answer
    x = 10,802.59

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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.