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Finding the Fourth Proportional to 7,751.09, 10,696.59 and 4,214.22

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Solution

The fourth proportional to 7,751.09, 10,696.59 and 4,214.22 is: 5,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.09 : 10,696.59 = 4,214.22 : x
  2. Step 2: Convert to fraction form
    7,751.09/10,696.59 = 4,214.22/x
  3. Step 3: Cross multiply
    7,751.09x = 10,696.59 × 4,214.22
  4. Step 4: Simplify right side
    7,751.09x = 45,077,783.51
  5. Step 5: Solve for x
    x = 45,077,783.51/7,751.09
  6. Step 6: Final answer
    x = 5,815.67

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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.