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Finding the Fourth Proportional to 7,023.44, 9,693.07 and 4,039.40

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Solution

The fourth proportional to 7,023.44, 9,693.07 and 4,039.40 is: 5,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.44 : 9,693.07 = 4,039.40 : x
  2. Step 2: Convert to fraction form
    7,023.44/9,693.07 = 4,039.40/x
  3. Step 3: Cross multiply
    7,023.44x = 9,693.07 × 4,039.40
  4. Step 4: Simplify right side
    7,023.44x = 39,154,201.09
  5. Step 5: Solve for x
    x = 39,154,201.09/7,023.44
  6. Step 6: Final answer
    x = 5,574.79

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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.