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Finding the Fourth Proportional to 7,038.12, 9,712.62 and 3,894.42

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Solution

The fourth proportional to 7,038.12, 9,712.62 and 3,894.42 is: 5,374.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.12 : 9,712.62 = 3,894.42 : x
  2. Step 2: Convert to fraction form
    7,038.12/9,712.62 = 3,894.42/x
  3. Step 3: Cross multiply
    7,038.12x = 9,712.62 × 3,894.42
  4. Step 4: Simplify right side
    7,038.12x = 37,825,021.58
  5. Step 5: Solve for x
    x = 37,825,021.58/7,038.12
  6. Step 6: Final answer
    x = 5,374.31

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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.