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Finding the Fourth Proportional to 7,017.78, 9,684.13 and 3,873.78

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Solution

The fourth proportional to 7,017.78, 9,684.13 and 3,873.78 is: 5,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,017.78 : 9,684.13 = 3,873.78 : x
  2. Step 2: Convert to fraction form
    7,017.78/9,684.13 = 3,873.78/x
  3. Step 3: Cross multiply
    7,017.78x = 9,684.13 × 3,873.78
  4. Step 4: Simplify right side
    7,017.78x = 37,514,189.11
  5. Step 5: Solve for x
    x = 37,514,189.11/7,017.78
  6. Step 6: Final answer
    x = 5,345.59

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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.