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Finding the Fourth Proportional to 6,554.85, 9,045.42 and 3,570.67

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Solution

The fourth proportional to 6,554.85, 9,045.42 and 3,570.67 is: 4,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.85 : 9,045.42 = 3,570.67 : x
  2. Step 2: Convert to fraction form
    6,554.85/9,045.42 = 3,570.67/x
  3. Step 3: Cross multiply
    6,554.85x = 9,045.42 × 3,570.67
  4. Step 4: Simplify right side
    6,554.85x = 32,298,209.83
  5. Step 5: Solve for x
    x = 32,298,209.83/6,554.85
  6. Step 6: Final answer
    x = 4,927.38

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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.