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Finding the Fourth Proportional to 9,569.36, 13,206.04 and 5,793.21

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Solution

The fourth proportional to 9,569.36, 13,206.04 and 5,793.21 is: 7,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.36 : 13,206.04 = 5,793.21 : x
  2. Step 2: Convert to fraction form
    9,569.36/13,206.04 = 5,793.21/x
  3. Step 3: Cross multiply
    9,569.36x = 13,206.04 × 5,793.21
  4. Step 4: Simplify right side
    9,569.36x = 76,505,348.51
  5. Step 5: Solve for x
    x = 76,505,348.51/9,569.36
  6. Step 6: Final answer
    x = 7,994.82

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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.