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Finding the Fourth Proportional to 8,646.66, 12,968.40 and 3,025

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Solution

The fourth proportional to 8,646.66, 12,968.40 and 3,025 is: 4,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.66 : 12,968.40 = 3,025 : x
  2. Step 2: Convert to fraction form
    8,646.66/12,968.40 = 3,025/x
  3. Step 3: Cross multiply
    8,646.66x = 12,968.40 × 3,025
  4. Step 4: Simplify right side
    8,646.66x = 39,229,410
  5. Step 5: Solve for x
    x = 39,229,410/8,646.66
  6. Step 6: Final answer
    x = 4,536.94

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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.