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Finding the Fourth Proportional to 9,654.78, 13,324.02 and 7,555.26

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Solution

The fourth proportional to 9,654.78, 13,324.02 and 7,555.26 is: 10,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.78 : 13,324.02 = 7,555.26 : x
  2. Step 2: Convert to fraction form
    9,654.78/13,324.02 = 7,555.26/x
  3. Step 3: Cross multiply
    9,654.78x = 13,324.02 × 7,555.26
  4. Step 4: Simplify right side
    9,654.78x = 100,666,435.35
  5. Step 5: Solve for x
    x = 100,666,435.35/9,654.78
  6. Step 6: Final answer
    x = 10,426.59

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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.