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Finding the Fourth Proportional to 7,094.58, 10,642.39 and 2,164.58

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Solution

The fourth proportional to 7,094.58, 10,642.39 and 2,164.58 is: 3,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.58 : 10,642.39 = 2,164.58 : x
  2. Step 2: Convert to fraction form
    7,094.58/10,642.39 = 2,164.58/x
  3. Step 3: Cross multiply
    7,094.58x = 10,642.39 × 2,164.58
  4. Step 4: Simplify right side
    7,094.58x = 23,036,304.55
  5. Step 5: Solve for x
    x = 23,036,304.55/7,094.58
  6. Step 6: Final answer
    x = 3,247.03

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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.