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Finding the Fourth Proportional to 6,897.66, 10,346.49 and 1,703.54

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Solution

The fourth proportional to 6,897.66, 10,346.49 and 1,703.54 is: 2,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.66 : 10,346.49 = 1,703.54 : x
  2. Step 2: Convert to fraction form
    6,897.66/10,346.49 = 1,703.54/x
  3. Step 3: Cross multiply
    6,897.66x = 10,346.49 × 1,703.54
  4. Step 4: Simplify right side
    6,897.66x = 17,625,659.57
  5. Step 5: Solve for x
    x = 17,625,659.57/6,897.66
  6. Step 6: Final answer
    x = 2,555.31

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1.5x scale

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.