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Finding the Fourth Proportional to 7,703.10, 10,629.09 and 4,345.65

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Solution

The fourth proportional to 7,703.10, 10,629.09 and 4,345.65 is: 5,996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.10 : 10,629.09 = 4,345.65 : x
  2. Step 2: Convert to fraction form
    7,703.10/10,629.09 = 4,345.65/x
  3. Step 3: Cross multiply
    7,703.10x = 10,629.09 × 4,345.65
  4. Step 4: Simplify right side
    7,703.10x = 46,190,304.96
  5. Step 5: Solve for x
    x = 46,190,304.96/7,703.10
  6. Step 6: Final answer
    x = 5,996.33

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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.