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Finding the Fourth Proportional to 7,071.08, 10,584.74 and 6,021.32

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Solution

The fourth proportional to 7,071.08, 10,584.74 and 6,021.32 is: 9,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.08 : 10,584.74 = 6,021.32 : x
  2. Step 2: Convert to fraction form
    7,071.08/10,584.74 = 6,021.32/x
  3. Step 3: Cross multiply
    7,071.08x = 10,584.74 × 6,021.32
  4. Step 4: Simplify right side
    7,071.08x = 63,734,128.33
  5. Step 5: Solve for x
    x = 63,734,128.33/7,071.08
  6. Step 6: Final answer
    x = 9,013.35

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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.