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Finding the Fourth Proportional to 13,797.14, 19,037.03 and 7,827.44

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Solution

The fourth proportional to 13,797.14, 19,037.03 and 7,827.44 is: 10,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.14 : 19,037.03 = 7,827.44 : x
  2. Step 2: Convert to fraction form
    13,797.14/19,037.03 = 7,827.44/x
  3. Step 3: Cross multiply
    13,797.14x = 19,037.03 × 7,827.44
  4. Step 4: Simplify right side
    13,797.14x = 149,011,075.78
  5. Step 5: Solve for x
    x = 149,011,075.78/13,797.14
  6. Step 6: Final answer
    x = 10,800.15

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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.