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Finding the Fourth Proportional to 9,559.52, 13,194.48 and 5,836.64

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Solution

The fourth proportional to 9,559.52, 13,194.48 and 5,836.64 is: 8,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.52 : 13,194.48 = 5,836.64 : x
  2. Step 2: Convert to fraction form
    9,559.52/13,194.48 = 5,836.64/x
  3. Step 3: Cross multiply
    9,559.52x = 13,194.48 × 5,836.64
  4. Step 4: Simplify right side
    9,559.52x = 77,011,429.75
  5. Step 5: Solve for x
    x = 77,011,429.75/9,559.52
  6. Step 6: Final answer
    x = 8,055.99

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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.