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Finding the Fourth Proportional to 8,596.96, 12,893.52 and 4,210

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Solution

The fourth proportional to 8,596.96, 12,893.52 and 4,210 is: 6,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.96 : 12,893.52 = 4,210 : x
  2. Step 2: Convert to fraction form
    8,596.96/12,893.52 = 4,210/x
  3. Step 3: Cross multiply
    8,596.96x = 12,893.52 × 4,210
  4. Step 4: Simplify right side
    8,596.96x = 54,281,719.20
  5. Step 5: Solve for x
    x = 54,281,719.20/8,596.96
  6. Step 6: Final answer
    x = 6,314.06

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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.