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Finding the Fourth Proportional to 6,833.40, 9,430.26 and 3,849.34

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Solution

The fourth proportional to 6,833.40, 9,430.26 and 3,849.34 is: 5,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.40 : 9,430.26 = 3,849.34 : x
  2. Step 2: Convert to fraction form
    6,833.40/9,430.26 = 3,849.34/x
  3. Step 3: Cross multiply
    6,833.40x = 9,430.26 × 3,849.34
  4. Step 4: Simplify right side
    6,833.40x = 36,300,277.03
  5. Step 5: Solve for x
    x = 36,300,277.03/6,833.40
  6. Step 6: Final answer
    x = 5,312.18

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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.