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Finding the Fourth Proportional to 4,284.14, 6,429.64 and 4,147.45

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Solution

The fourth proportional to 4,284.14, 6,429.64 and 4,147.45 is: 6,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.14 : 6,429.64 = 4,147.45 : x
  2. Step 2: Convert to fraction form
    4,284.14/6,429.64 = 4,147.45/x
  3. Step 3: Cross multiply
    4,284.14x = 6,429.64 × 4,147.45
  4. Step 4: Simplify right side
    4,284.14x = 26,666,610.42
  5. Step 5: Solve for x
    x = 26,666,610.42/4,284.14
  6. Step 6: Final answer
    x = 6,224.50

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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.