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Finding the Fourth Proportional to 7,184, 10,775.98 and 2,254.01

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Solution

The fourth proportional to 7,184, 10,775.98 and 2,254.01 is: 3,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184 : 10,775.98 = 2,254.01 : x
  2. Step 2: Convert to fraction form
    7,184/10,775.98 = 2,254.01/x
  3. Step 3: Cross multiply
    7,184x = 10,775.98 × 2,254.01
  4. Step 4: Simplify right side
    7,184x = 24,289,166.68
  5. Step 5: Solve for x
    x = 24,289,166.68/7,184
  6. Step 6: Final answer
    x = 3,381.01

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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.