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Finding the Fourth Proportional to 7,692.35, 10,614.01 and 4,505.48

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Solution

The fourth proportional to 7,692.35, 10,614.01 and 4,505.48 is: 6,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.35 : 10,614.01 = 4,505.48 : x
  2. Step 2: Convert to fraction form
    7,692.35/10,614.01 = 4,505.48/x
  3. Step 3: Cross multiply
    7,692.35x = 10,614.01 × 4,505.48
  4. Step 4: Simplify right side
    7,692.35x = 47,821,209.77
  5. Step 5: Solve for x
    x = 47,821,209.77/7,692.35
  6. Step 6: Final answer
    x = 6,216.72

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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.