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Finding the Fourth Proportional to 7,093.99, 10,642.50 and 2,164

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Solution

The fourth proportional to 7,093.99, 10,642.50 and 2,164 is: 3,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.99 : 10,642.50 = 2,164 : x
  2. Step 2: Convert to fraction form
    7,093.99/10,642.50 = 2,164/x
  3. Step 3: Cross multiply
    7,093.99x = 10,642.50 × 2,164
  4. Step 4: Simplify right side
    7,093.99x = 23,030,370
  5. Step 5: Solve for x
    x = 23,030,370/7,093.99
  6. Step 6: Final answer
    x = 3,246.46

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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.