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Finding the Fourth Proportional to 7,629.63, 10,542.05 and 6,301.05

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Solution

The fourth proportional to 7,629.63, 10,542.05 and 6,301.05 is: 8,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.63 : 10,542.05 = 6,301.05 : x
  2. Step 2: Convert to fraction form
    7,629.63/10,542.05 = 6,301.05/x
  3. Step 3: Cross multiply
    7,629.63x = 10,542.05 × 6,301.05
  4. Step 4: Simplify right side
    7,629.63x = 66,425,984.15
  5. Step 5: Solve for x
    x = 66,425,984.15/7,629.63
  6. Step 6: Final answer
    x = 8,706.32

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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.