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Finding the Fourth Proportional to 9,630.77, 14,447.97 and 5,475.47

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Solution

The fourth proportional to 9,630.77, 14,447.97 and 5,475.47 is: 8,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.77 : 14,447.97 = 5,475.47 : x
  2. Step 2: Convert to fraction form
    9,630.77/14,447.97 = 5,475.47/x
  3. Step 3: Cross multiply
    9,630.77x = 14,447.97 × 5,475.47
  4. Step 4: Simplify right side
    9,630.77x = 79,109,354.06
  5. Step 5: Solve for x
    x = 79,109,354.06/9,630.77
  6. Step 6: Final answer
    x = 8,214.23

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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.