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Finding the Fourth Proportional to 7,100.64, 10,650.93 and 2,937.63

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Solution

The fourth proportional to 7,100.64, 10,650.93 and 2,937.63 is: 4,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.64 : 10,650.93 = 2,937.63 : x
  2. Step 2: Convert to fraction form
    7,100.64/10,650.93 = 2,937.63/x
  3. Step 3: Cross multiply
    7,100.64x = 10,650.93 × 2,937.63
  4. Step 4: Simplify right side
    7,100.64x = 31,288,491.50
  5. Step 5: Solve for x
    x = 31,288,491.50/7,100.64
  6. Step 6: Final answer
    x = 4,406.43

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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.