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Finding the Fourth Proportional to 7,692.36, 10,609.41 and 5,568.20

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Solution

The fourth proportional to 7,692.36, 10,609.41 and 5,568.20 is: 7,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.36 : 10,609.41 = 5,568.20 : x
  2. Step 2: Convert to fraction form
    7,692.36/10,609.41 = 5,568.20/x
  3. Step 3: Cross multiply
    7,692.36x = 10,609.41 × 5,568.20
  4. Step 4: Simplify right side
    7,692.36x = 59,075,316.76
  5. Step 5: Solve for x
    x = 59,075,316.76/7,692.36
  6. Step 6: Final answer
    x = 7,679.74

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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.