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Finding the Fourth Proportional to 6,271.59, 9,405.21 and 1,828.07

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Solution

The fourth proportional to 6,271.59, 9,405.21 and 1,828.07 is: 2,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.59 : 9,405.21 = 1,828.07 : x
  2. Step 2: Convert to fraction form
    6,271.59/9,405.21 = 1,828.07/x
  3. Step 3: Cross multiply
    6,271.59x = 9,405.21 × 1,828.07
  4. Step 4: Simplify right side
    6,271.59x = 17,193,377.34
  5. Step 5: Solve for x
    x = 17,193,377.34/6,271.59
  6. Step 6: Final answer
    x = 2,741.47

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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.