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Finding the Fourth Proportional to 9,772.94, 13,486.65 and 5,296.69

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Solution

The fourth proportional to 9,772.94, 13,486.65 and 5,296.69 is: 7,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.94 : 13,486.65 = 5,296.69 : x
  2. Step 2: Convert to fraction form
    9,772.94/13,486.65 = 5,296.69/x
  3. Step 3: Cross multiply
    9,772.94x = 13,486.65 × 5,296.69
  4. Step 4: Simplify right side
    9,772.94x = 71,434,550.61
  5. Step 5: Solve for x
    x = 71,434,550.61/9,772.94
  6. Step 6: Final answer
    x = 7,309.43

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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.