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Finding the Fourth Proportional to 6,046.49, 9,051.92 and 5,897.45

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Solution

The fourth proportional to 6,046.49, 9,051.92 and 5,897.45 is: 8,828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.49 : 9,051.92 = 5,897.45 : x
  2. Step 2: Convert to fraction form
    6,046.49/9,051.92 = 5,897.45/x
  3. Step 3: Cross multiply
    6,046.49x = 9,051.92 × 5,897.45
  4. Step 4: Simplify right side
    6,046.49x = 53,383,216.12
  5. Step 5: Solve for x
    x = 53,383,216.12/6,046.49
  6. Step 6: Final answer
    x = 8,828.79

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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.