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Finding the Fourth Proportional to 6,570.43, 9,842.88 and 5,834.14

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Solution

The fourth proportional to 6,570.43, 9,842.88 and 5,834.14 is: 8,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.43 : 9,842.88 = 5,834.14 : x
  2. Step 2: Convert to fraction form
    6,570.43/9,842.88 = 5,834.14/x
  3. Step 3: Cross multiply
    6,570.43x = 9,842.88 × 5,834.14
  4. Step 4: Simplify right side
    6,570.43x = 57,424,792.56
  5. Step 5: Solve for x
    x = 57,424,792.56/6,570.43
  6. Step 6: Final answer
    x = 8,739.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.