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Finding the Fourth Proportional to 14,287.80, 21,431.70 and 6,511.80

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Solution

The fourth proportional to 14,287.80, 21,431.70 and 6,511.80 is: 9,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.80 : 21,431.70 = 6,511.80 : x
  2. Step 2: Convert to fraction form
    14,287.80/21,431.70 = 6,511.80/x
  3. Step 3: Cross multiply
    14,287.80x = 21,431.70 × 6,511.80
  4. Step 4: Simplify right side
    14,287.80x = 139,558,944.06
  5. Step 5: Solve for x
    x = 139,558,944.06/14,287.80
  6. Step 6: Final answer
    x = 9,767.70

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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.