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Finding the Fourth Proportional to 8,970, 13,457.16 and 2,814

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Solution

The fourth proportional to 8,970, 13,457.16 and 2,814 is: 4,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970 : 13,457.16 = 2,814 : x
  2. Step 2: Convert to fraction form
    8,970/13,457.16 = 2,814/x
  3. Step 3: Cross multiply
    8,970x = 13,457.16 × 2,814
  4. Step 4: Simplify right side
    8,970x = 37,868,448.24
  5. Step 5: Solve for x
    x = 37,868,448.24/8,970
  6. Step 6: Final answer
    x = 4,221.68

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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.