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Finding the Fourth Proportional to 6,276.65, 9,415.13 and 1,894.10

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Solution

The fourth proportional to 6,276.65, 9,415.13 and 1,894.10 is: 2,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.65 : 9,415.13 = 1,894.10 : x
  2. Step 2: Convert to fraction form
    6,276.65/9,415.13 = 1,894.10/x
  3. Step 3: Cross multiply
    6,276.65x = 9,415.13 × 1,894.10
  4. Step 4: Simplify right side
    6,276.65x = 17,833,141.19
  5. Step 5: Solve for x
    x = 17,833,141.19/6,276.65
  6. Step 6: Final answer
    x = 2,841.19

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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.