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Finding the Fourth Proportional to 7,069, 9,756.12 and 4,274.52

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Solution

The fourth proportional to 7,069, 9,756.12 and 4,274.52 is: 5,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069 : 9,756.12 = 4,274.52 : x
  2. Step 2: Convert to fraction form
    7,069/9,756.12 = 4,274.52/x
  3. Step 3: Cross multiply
    7,069x = 9,756.12 × 4,274.52
  4. Step 4: Simplify right side
    7,069x = 41,702,730.06
  5. Step 5: Solve for x
    x = 41,702,730.06/7,069
  6. Step 6: Final answer
    x = 5,899.38

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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.