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Finding the Fourth Proportional to 6,703.08, 10,055.70 and 2,085

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Solution

The fourth proportional to 6,703.08, 10,055.70 and 2,085 is: 3,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.08 : 10,055.70 = 2,085 : x
  2. Step 2: Convert to fraction form
    6,703.08/10,055.70 = 2,085/x
  3. Step 3: Cross multiply
    6,703.08x = 10,055.70 × 2,085
  4. Step 4: Simplify right side
    6,703.08x = 20,966,134.50
  5. Step 5: Solve for x
    x = 20,966,134.50/6,703.08
  6. Step 6: Final answer
    x = 3,127.84

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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.