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Finding the Fourth Proportional to 10,697.55, 16,046.37 and 7,023.03

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Solution

The fourth proportional to 10,697.55, 16,046.37 and 7,023.03 is: 10,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.55 : 16,046.37 = 7,023.03 : x
  2. Step 2: Convert to fraction form
    10,697.55/16,046.37 = 7,023.03/x
  3. Step 3: Cross multiply
    10,697.55x = 16,046.37 × 7,023.03
  4. Step 4: Simplify right side
    10,697.55x = 112,694,137.90
  5. Step 5: Solve for x
    x = 112,694,137.90/10,697.55
  6. Step 6: Final answer
    x = 10,534.57

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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.