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Finding the Fourth Proportional to 9,806.69, 13,533.12 and 5,557.43

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Solution

The fourth proportional to 9,806.69, 13,533.12 and 5,557.43 is: 7,669.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.69 : 13,533.12 = 5,557.43 : x
  2. Step 2: Convert to fraction form
    9,806.69/13,533.12 = 5,557.43/x
  3. Step 3: Cross multiply
    9,806.69x = 13,533.12 × 5,557.43
  4. Step 4: Simplify right side
    9,806.69x = 75,209,367.08
  5. Step 5: Solve for x
    x = 75,209,367.08/9,806.69
  6. Step 6: Final answer
    x = 7,669.19

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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.