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Finding the Fourth Proportional to 14,296.10, 21,448.49 and 6,899.18

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Solution

The fourth proportional to 14,296.10, 21,448.49 and 6,899.18 is: 10,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.10 : 21,448.49 = 6,899.18 : x
  2. Step 2: Convert to fraction form
    14,296.10/21,448.49 = 6,899.18/x
  3. Step 3: Cross multiply
    14,296.10x = 21,448.49 × 6,899.18
  4. Step 4: Simplify right side
    14,296.10x = 147,976,851.50
  5. Step 5: Solve for x
    x = 147,976,851.50/14,296.10
  6. Step 6: Final answer
    x = 10,350.86

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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.