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Finding the Fourth Proportional to 13,097.70, 18,068.96 and 8,733.06

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Solution

The fourth proportional to 13,097.70, 18,068.96 and 8,733.06 is: 12,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.70 : 18,068.96 = 8,733.06 : x
  2. Step 2: Convert to fraction form
    13,097.70/18,068.96 = 8,733.06/x
  3. Step 3: Cross multiply
    13,097.70x = 18,068.96 × 8,733.06
  4. Step 4: Simplify right side
    13,097.70x = 157,797,333.65
  5. Step 5: Solve for x
    x = 157,797,333.65/13,097.70
  6. Step 6: Final answer
    x = 12,047.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.