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Finding the Fourth Proportional to 7,071.99, 10,597.05 and 5,214.26

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Solution

The fourth proportional to 7,071.99, 10,597.05 and 5,214.26 is: 7,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.99 : 10,597.05 = 5,214.26 : x
  2. Step 2: Convert to fraction form
    7,071.99/10,597.05 = 5,214.26/x
  3. Step 3: Cross multiply
    7,071.99x = 10,597.05 × 5,214.26
  4. Step 4: Simplify right side
    7,071.99x = 55,255,720.95
  5. Step 5: Solve for x
    x = 55,255,720.95/7,071.99
  6. Step 6: Final answer
    x = 7,813.32

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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.