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Finding the Fourth Proportional to 6,842.70, 9,589.50 and 6,842.70

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Solution

The fourth proportional to 6,842.70, 9,589.50 and 6,842.70 is: 9,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.70 : 9,589.50 = 6,842.70 : x
  2. Step 2: Convert to fraction form
    6,842.70/9,589.50 = 6,842.70/x
  3. Step 3: Cross multiply
    6,842.70x = 9,589.50 × 6,842.70
  4. Step 4: Simplify right side
    6,842.70x = 65,618,071.65
  5. Step 5: Solve for x
    x = 65,618,071.65/6,842.70
  6. Step 6: Final answer
    x = 9,589.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.