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Finding the Fourth Proportional to 7,769.52, 11,654.12 and 1,926.16

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Solution

The fourth proportional to 7,769.52, 11,654.12 and 1,926.16 is: 2,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.52 : 11,654.12 = 1,926.16 : x
  2. Step 2: Convert to fraction form
    7,769.52/11,654.12 = 1,926.16/x
  3. Step 3: Cross multiply
    7,769.52x = 11,654.12 × 1,926.16
  4. Step 4: Simplify right side
    7,769.52x = 22,447,699.78
  5. Step 5: Solve for x
    x = 22,447,699.78/7,769.52
  6. Step 6: Final answer
    x = 2,889.20

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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.