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Finding the Fourth Proportional to 7,897.17, 11,846.34 and 2,703

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Solution

The fourth proportional to 7,897.17, 11,846.34 and 2,703 is: 4,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.17 : 11,846.34 = 2,703 : x
  2. Step 2: Convert to fraction form
    7,897.17/11,846.34 = 2,703/x
  3. Step 3: Cross multiply
    7,897.17x = 11,846.34 × 2,703
  4. Step 4: Simplify right side
    7,897.17x = 32,020,657.02
  5. Step 5: Solve for x
    x = 32,020,657.02/7,897.17
  6. Step 6: Final answer
    x = 4,054.70

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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.