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Finding the Fourth Proportional to 9,692.70, 14,510.70 and 7,238.40

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Solution

The fourth proportional to 9,692.70, 14,510.70 and 7,238.40 is: 10,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.70 : 14,510.70 = 7,238.40 : x
  2. Step 2: Convert to fraction form
    9,692.70/14,510.70 = 7,238.40/x
  3. Step 3: Cross multiply
    9,692.70x = 14,510.70 × 7,238.40
  4. Step 4: Simplify right side
    9,692.70x = 105,034,250.88
  5. Step 5: Solve for x
    x = 105,034,250.88/9,692.70
  6. Step 6: Final answer
    x = 10,836.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.