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Finding the Fourth Proportional to 5,650.30, 7,800.14 and 3,973.16

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Solution

The fourth proportional to 5,650.30, 7,800.14 and 3,973.16 is: 5,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.30 : 7,800.14 = 3,973.16 : x
  2. Step 2: Convert to fraction form
    5,650.30/7,800.14 = 3,973.16/x
  3. Step 3: Cross multiply
    5,650.30x = 7,800.14 × 3,973.16
  4. Step 4: Simplify right side
    5,650.30x = 30,991,204.24
  5. Step 5: Solve for x
    x = 30,991,204.24/5,650.30
  6. Step 6: Final answer
    x = 5,484.88

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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.