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Finding the Fourth Proportional to 9,569.14, 13,206.31 and 5,793.22

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Solution

The fourth proportional to 9,569.14, 13,206.31 and 5,793.22 is: 7,995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.14 : 13,206.31 = 5,793.22 : x
  2. Step 2: Convert to fraction form
    9,569.14/13,206.31 = 5,793.22/x
  3. Step 3: Cross multiply
    9,569.14x = 13,206.31 × 5,793.22
  4. Step 4: Simplify right side
    9,569.14x = 76,507,061.24
  5. Step 5: Solve for x
    x = 76,507,061.24/9,569.14
  6. Step 6: Final answer
    x = 7,995.19

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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.