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Finding the Fourth Proportional to 6,284.40, 9,426.28 and 2,126.40

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Solution

The fourth proportional to 6,284.40, 9,426.28 and 2,126.40 is: 3,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.40 : 9,426.28 = 2,126.40 : x
  2. Step 2: Convert to fraction form
    6,284.40/9,426.28 = 2,126.40/x
  3. Step 3: Cross multiply
    6,284.40x = 9,426.28 × 2,126.40
  4. Step 4: Simplify right side
    6,284.40x = 20,044,041.79
  5. Step 5: Solve for x
    x = 20,044,041.79/6,284.40
  6. Step 6: Final answer
    x = 3,189.49

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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.