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Finding the Fourth Proportional to 7,171, 9,897.06 and 4,378.12

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Solution

The fourth proportional to 7,171, 9,897.06 and 4,378.12 is: 6,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171 : 9,897.06 = 4,378.12 : x
  2. Step 2: Convert to fraction form
    7,171/9,897.06 = 4,378.12/x
  3. Step 3: Cross multiply
    7,171x = 9,897.06 × 4,378.12
  4. Step 4: Simplify right side
    7,171x = 43,330,516.33
  5. Step 5: Solve for x
    x = 43,330,516.33/7,171
  6. Step 6: Final answer
    x = 6,042.46

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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.