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Finding the Fourth Proportional to 14,506.22, 21,769.06 and 9,315.74

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Solution

The fourth proportional to 14,506.22, 21,769.06 and 9,315.74 is: 13,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.22 : 21,769.06 = 9,315.74 : x
  2. Step 2: Convert to fraction form
    14,506.22/21,769.06 = 9,315.74/x
  3. Step 3: Cross multiply
    14,506.22x = 21,769.06 × 9,315.74
  4. Step 4: Simplify right side
    14,506.22x = 202,794,903.00
  5. Step 5: Solve for x
    x = 202,794,903.00/14,506.22
  6. Step 6: Final answer
    x = 13,979.86

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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.