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Finding the Fourth Proportional to 13,980.46, 19,292.64 and 7,692.84

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Solution

The fourth proportional to 13,980.46, 19,292.64 and 7,692.84 is: 10,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.46 : 19,292.64 = 7,692.84 : x
  2. Step 2: Convert to fraction form
    13,980.46/19,292.64 = 7,692.84/x
  3. Step 3: Cross multiply
    13,980.46x = 19,292.64 × 7,692.84
  4. Step 4: Simplify right side
    13,980.46x = 148,415,192.70
  5. Step 5: Solve for x
    x = 148,415,192.70/13,980.46
  6. Step 6: Final answer
    x = 10,615.90

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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.