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Finding the Fourth Proportional to 9,754.78, 13,463.00 and 6,402.59

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Solution

The fourth proportional to 9,754.78, 13,463.00 and 6,402.59 is: 8,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.78 : 13,463.00 = 6,402.59 : x
  2. Step 2: Convert to fraction form
    9,754.78/13,463.00 = 6,402.59/x
  3. Step 3: Cross multiply
    9,754.78x = 13,463.00 × 6,402.59
  4. Step 4: Simplify right side
    9,754.78x = 86,198,094.00
  5. Step 5: Solve for x
    x = 86,198,094.00/9,754.78
  6. Step 6: Final answer
    x = 8,836.50

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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.