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Finding the Fourth Proportional to 7,697.09, 10,622.04 and 4,160.30

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Solution

The fourth proportional to 7,697.09, 10,622.04 and 4,160.30 is: 5,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.09 : 10,622.04 = 4,160.30 : x
  2. Step 2: Convert to fraction form
    7,697.09/10,622.04 = 4,160.30/x
  3. Step 3: Cross multiply
    7,697.09x = 10,622.04 × 4,160.30
  4. Step 4: Simplify right side
    7,697.09x = 44,190,804.30
  5. Step 5: Solve for x
    x = 44,190,804.30/7,697.09
  6. Step 6: Final answer
    x = 5,741.23

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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.