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Finding the Fourth Proportional to 9,651.84, 14,468.16 and 5,483.22

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Solution

The fourth proportional to 9,651.84, 14,468.16 and 5,483.22 is: 8,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.84 : 14,468.16 = 5,483.22 : x
  2. Step 2: Convert to fraction form
    9,651.84/14,468.16 = 5,483.22/x
  3. Step 3: Cross multiply
    9,651.84x = 14,468.16 × 5,483.22
  4. Step 4: Simplify right side
    9,651.84x = 79,332,104.28
  5. Step 5: Solve for x
    x = 79,332,104.28/9,651.84
  6. Step 6: Final answer
    x = 8,219.38

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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.