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Finding the Fourth Proportional to 7,699.97, 11,549.86 and 1,856.54

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Solution

The fourth proportional to 7,699.97, 11,549.86 and 1,856.54 is: 2,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.97 : 11,549.86 = 1,856.54 : x
  2. Step 2: Convert to fraction form
    7,699.97/11,549.86 = 1,856.54/x
  3. Step 3: Cross multiply
    7,699.97x = 11,549.86 × 1,856.54
  4. Step 4: Simplify right side
    7,699.97x = 21,442,714.69
  5. Step 5: Solve for x
    x = 21,442,714.69/7,699.97
  6. Step 6: Final answer
    x = 2,784.78

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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.