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Finding the Fourth Proportional to 11,075.76, 16,595.17 and 7,951.09

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Solution

The fourth proportional to 11,075.76, 16,595.17 and 7,951.09 is: 11,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.76 : 16,595.17 = 7,951.09 : x
  2. Step 2: Convert to fraction form
    11,075.76/16,595.17 = 7,951.09/x
  3. Step 3: Cross multiply
    11,075.76x = 16,595.17 × 7,951.09
  4. Step 4: Simplify right side
    11,075.76x = 131,949,690.24
  5. Step 5: Solve for x
    x = 131,949,690.24/11,075.76
  6. Step 6: Final answer
    x = 11,913.38

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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.