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Finding the Fourth Proportional to 6,276.60, 9,415.26 and 1,894.50

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Solution

The fourth proportional to 6,276.60, 9,415.26 and 1,894.50 is: 2,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.60 : 9,415.26 = 1,894.50 : x
  2. Step 2: Convert to fraction form
    6,276.60/9,415.26 = 1,894.50/x
  3. Step 3: Cross multiply
    6,276.60x = 9,415.26 × 1,894.50
  4. Step 4: Simplify right side
    6,276.60x = 17,837,210.07
  5. Step 5: Solve for x
    x = 17,837,210.07/6,276.60
  6. Step 6: Final answer
    x = 2,841.86

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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.