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Finding the Fourth Proportional to 7,094.53, 10,642.40 and 2,164.21

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Solution

The fourth proportional to 7,094.53, 10,642.40 and 2,164.21 is: 3,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.53 : 10,642.40 = 2,164.21 : x
  2. Step 2: Convert to fraction form
    7,094.53/10,642.40 = 2,164.21/x
  3. Step 3: Cross multiply
    7,094.53x = 10,642.40 × 2,164.21
  4. Step 4: Simplify right side
    7,094.53x = 23,032,388.50
  5. Step 5: Solve for x
    x = 23,032,388.50/7,094.53
  6. Step 6: Final answer
    x = 3,246.50

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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.