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Finding the Fourth Proportional to 6,897.46, 9,522.24 and 5,205.46

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Solution

The fourth proportional to 6,897.46, 9,522.24 and 5,205.46 is: 7,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.46 : 9,522.24 = 5,205.46 : x
  2. Step 2: Convert to fraction form
    6,897.46/9,522.24 = 5,205.46/x
  3. Step 3: Cross multiply
    6,897.46x = 9,522.24 × 5,205.46
  4. Step 4: Simplify right side
    6,897.46x = 49,567,639.43
  5. Step 5: Solve for x
    x = 49,567,639.43/6,897.46
  6. Step 6: Final answer
    x = 7,186.36

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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.