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Finding the Fourth Proportional to 7,008.50, 10,514.76 and 2,078.25

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Solution

The fourth proportional to 7,008.50, 10,514.76 and 2,078.25 is: 3,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.50 : 10,514.76 = 2,078.25 : x
  2. Step 2: Convert to fraction form
    7,008.50/10,514.76 = 2,078.25/x
  3. Step 3: Cross multiply
    7,008.50x = 10,514.76 × 2,078.25
  4. Step 4: Simplify right side
    7,008.50x = 21,852,299.97
  5. Step 5: Solve for x
    x = 21,852,299.97/7,008.50
  6. Step 6: Final answer
    x = 3,117.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.