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Finding the Fourth Proportional to 6,873.77, 9,483.63 and 4,040.24

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Solution

The fourth proportional to 6,873.77, 9,483.63 and 4,040.24 is: 5,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.77 : 9,483.63 = 4,040.24 : x
  2. Step 2: Convert to fraction form
    6,873.77/9,483.63 = 4,040.24/x
  3. Step 3: Cross multiply
    6,873.77x = 9,483.63 × 4,040.24
  4. Step 4: Simplify right side
    6,873.77x = 38,316,093.85
  5. Step 5: Solve for x
    x = 38,316,093.85/6,873.77
  6. Step 6: Final answer
    x = 5,574.25

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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.