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Finding the Fourth Proportional to 13,982.94, 19,294.95 and 7,694.94

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Solution

The fourth proportional to 13,982.94, 19,294.95 and 7,694.94 is: 10,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.94 : 19,294.95 = 7,694.94 : x
  2. Step 2: Convert to fraction form
    13,982.94/19,294.95 = 7,694.94/x
  3. Step 3: Cross multiply
    13,982.94x = 19,294.95 × 7,694.94
  4. Step 4: Simplify right side
    13,982.94x = 148,473,482.55
  5. Step 5: Solve for x
    x = 148,473,482.55/13,982.94
  6. Step 6: Final answer
    x = 10,618.19

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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.