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Finding the Fourth Proportional to 7,853.06, 10,834.89 and 7,104.62

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Solution

The fourth proportional to 7,853.06, 10,834.89 and 7,104.62 is: 9,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.06 : 10,834.89 = 7,104.62 : x
  2. Step 2: Convert to fraction form
    7,853.06/10,834.89 = 7,104.62/x
  3. Step 3: Cross multiply
    7,853.06x = 10,834.89 × 7,104.62
  4. Step 4: Simplify right side
    7,853.06x = 76,977,776.19
  5. Step 5: Solve for x
    x = 76,977,776.19/7,853.06
  6. Step 6: Final answer
    x = 9,802.27

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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.