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Finding the Fourth Proportional to 9,806.87, 13,534.83 and 5,559.63

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Solution

The fourth proportional to 9,806.87, 13,534.83 and 5,559.63 is: 7,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.87 : 13,534.83 = 5,559.63 : x
  2. Step 2: Convert to fraction form
    9,806.87/13,534.83 = 5,559.63/x
  3. Step 3: Cross multiply
    9,806.87x = 13,534.83 × 5,559.63
  4. Step 4: Simplify right side
    9,806.87x = 75,248,646.91
  5. Step 5: Solve for x
    x = 75,248,646.91/9,806.87
  6. Step 6: Final answer
    x = 7,673.06

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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.