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Finding the Fourth Proportional to 14,976, 22,448.64 and 6,216

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Solution

The fourth proportional to 14,976, 22,448.64 and 6,216 is: 9,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,976 : 22,448.64 = 6,216 : x
  2. Step 2: Convert to fraction form
    14,976/22,448.64 = 6,216/x
  3. Step 3: Cross multiply
    14,976x = 22,448.64 × 6,216
  4. Step 4: Simplify right side
    14,976x = 139,540,746.24
  5. Step 5: Solve for x
    x = 139,540,746.24/14,976
  6. Step 6: Final answer
    x = 9,317.62

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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.