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Finding the Fourth Proportional to 6,804.98, 10,207.73 and 1,875.00

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Solution

The fourth proportional to 6,804.98, 10,207.73 and 1,875.00 is: 2,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.98 : 10,207.73 = 1,875.00 : x
  2. Step 2: Convert to fraction form
    6,804.98/10,207.73 = 1,875.00/x
  3. Step 3: Cross multiply
    6,804.98x = 10,207.73 × 1,875.00
  4. Step 4: Simplify right side
    6,804.98x = 19,139,536.72
  5. Step 5: Solve for x
    x = 19,139,536.72/6,804.98
  6. Step 6: Final answer
    x = 2,812.58

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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.