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Finding the Fourth Proportional to 14,321.46, 21,483.68 and 4,961.46

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Solution

The fourth proportional to 14,321.46, 21,483.68 and 4,961.46 is: 7,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.46 : 21,483.68 = 4,961.46 : x
  2. Step 2: Convert to fraction form
    14,321.46/21,483.68 = 4,961.46/x
  3. Step 3: Cross multiply
    14,321.46x = 21,483.68 × 4,961.46
  4. Step 4: Simplify right side
    14,321.46x = 106,590,394.17
  5. Step 5: Solve for x
    x = 106,590,394.17/14,321.46
  6. Step 6: Final answer
    x = 7,442.70

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1.5x scale

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.