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Finding the Fourth Proportional to 6,255, 9,382.50 and 2,358.50

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Solution

The fourth proportional to 6,255, 9,382.50 and 2,358.50 is: 3,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255 : 9,382.50 = 2,358.50 : x
  2. Step 2: Convert to fraction form
    6,255/9,382.50 = 2,358.50/x
  3. Step 3: Cross multiply
    6,255x = 9,382.50 × 2,358.50
  4. Step 4: Simplify right side
    6,255x = 22,128,579.34
  5. Step 5: Solve for x
    x = 22,128,579.34/6,255
  6. Step 6: Final answer
    x = 3,537.74

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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.