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Finding the Fourth Proportional to 7,771.61, 11,650.88 and 3,385.76

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Solution

The fourth proportional to 7,771.61, 11,650.88 and 3,385.76 is: 5,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.61 : 11,650.88 = 3,385.76 : x
  2. Step 2: Convert to fraction form
    7,771.61/11,650.88 = 3,385.76/x
  3. Step 3: Cross multiply
    7,771.61x = 11,650.88 × 3,385.76
  4. Step 4: Simplify right side
    7,771.61x = 39,447,083.47
  5. Step 5: Solve for x
    x = 39,447,083.47/7,771.61
  6. Step 6: Final answer
    x = 5,075.80

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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.