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Finding the Fourth Proportional to 14,097, 19,453.08 and 7,808.88

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Solution

The fourth proportional to 14,097, 19,453.08 and 7,808.88 is: 10,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097 : 19,453.08 = 7,808.88 : x
  2. Step 2: Convert to fraction form
    14,097/19,453.08 = 7,808.88/x
  3. Step 3: Cross multiply
    14,097x = 19,453.08 × 7,808.88
  4. Step 4: Simplify right side
    14,097x = 151,906,767.35
  5. Step 5: Solve for x
    x = 151,906,767.35/14,097
  6. Step 6: Final answer
    x = 10,775.82

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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.