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Finding the Fourth Proportional to 14,598.60, 21,906.80 and 6,808

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Solution

The fourth proportional to 14,598.60, 21,906.80 and 6,808 is: 10,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598.60 : 21,906.80 = 6,808 : x
  2. Step 2: Convert to fraction form
    14,598.60/21,906.80 = 6,808/x
  3. Step 3: Cross multiply
    14,598.60x = 21,906.80 × 6,808
  4. Step 4: Simplify right side
    14,598.60x = 149,141,494.40
  5. Step 5: Solve for x
    x = 149,141,494.40/14,598.60
  6. Step 6: Final answer
    x = 10,216.15

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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.