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Finding the Fourth Proportional to 6,554.98, 9,046.08 and 3,570.89

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Solution

The fourth proportional to 6,554.98, 9,046.08 and 3,570.89 is: 4,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.98 : 9,046.08 = 3,570.89 : x
  2. Step 2: Convert to fraction form
    6,554.98/9,046.08 = 3,570.89/x
  3. Step 3: Cross multiply
    6,554.98x = 9,046.08 × 3,570.89
  4. Step 4: Simplify right side
    6,554.98x = 32,302,511.38
  5. Step 5: Solve for x
    x = 32,302,511.38/6,554.98
  6. Step 6: Final answer
    x = 4,927.94

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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.