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Finding the Fourth Proportional to 6,521.71, 8,999.71 and 3,537.44

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Solution

The fourth proportional to 6,521.71, 8,999.71 and 3,537.44 is: 4,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.71 : 8,999.71 = 3,537.44 : x
  2. Step 2: Convert to fraction form
    6,521.71/8,999.71 = 3,537.44/x
  3. Step 3: Cross multiply
    6,521.71x = 8,999.71 × 3,537.44
  4. Step 4: Simplify right side
    6,521.71x = 31,835,967.70
  5. Step 5: Solve for x
    x = 31,835,967.70/6,521.71
  6. Step 6: Final answer
    x = 4,881.54

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1.5x scale

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.