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Finding the Fourth Proportional to 7,850.04, 11,763.24 and 7,109.16

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Solution

The fourth proportional to 7,850.04, 11,763.24 and 7,109.16 is: 10,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.04 : 11,763.24 = 7,109.16 : x
  2. Step 2: Convert to fraction form
    7,850.04/11,763.24 = 7,109.16/x
  3. Step 3: Cross multiply
    7,850.04x = 11,763.24 × 7,109.16
  4. Step 4: Simplify right side
    7,850.04x = 83,626,755.28
  5. Step 5: Solve for x
    x = 83,626,755.28/7,850.04
  6. Step 6: Final answer
    x = 10,653.04

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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.