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Finding the Fourth Proportional to 7,896.63, 10,897.02 and 4,311.30

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Solution

The fourth proportional to 7,896.63, 10,897.02 and 4,311.30 is: 5,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.63 : 10,897.02 = 4,311.30 : x
  2. Step 2: Convert to fraction form
    7,896.63/10,897.02 = 4,311.30/x
  3. Step 3: Cross multiply
    7,896.63x = 10,897.02 × 4,311.30
  4. Step 4: Simplify right side
    7,896.63x = 46,980,322.33
  5. Step 5: Solve for x
    x = 46,980,322.33/7,896.63
  6. Step 6: Final answer
    x = 5,949.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.