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Finding the Fourth Proportional to 7,001.06, 9,661.70 and 3,857.32

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Solution

The fourth proportional to 7,001.06, 9,661.70 and 3,857.32 is: 5,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.06 : 9,661.70 = 3,857.32 : x
  2. Step 2: Convert to fraction form
    7,001.06/9,661.70 = 3,857.32/x
  3. Step 3: Cross multiply
    7,001.06x = 9,661.70 × 3,857.32
  4. Step 4: Simplify right side
    7,001.06x = 37,268,201.05
  5. Step 5: Solve for x
    x = 37,268,201.05/7,001.06
  6. Step 6: Final answer
    x = 5,323.22

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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.