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Finding the Fourth Proportional to 9,678.88, 13,353.01 and 5,693.68

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Solution

The fourth proportional to 9,678.88, 13,353.01 and 5,693.68 is: 7,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.88 : 13,353.01 = 5,693.68 : x
  2. Step 2: Convert to fraction form
    9,678.88/13,353.01 = 5,693.68/x
  3. Step 3: Cross multiply
    9,678.88x = 13,353.01 × 5,693.68
  4. Step 4: Simplify right side
    9,678.88x = 76,027,765.98
  5. Step 5: Solve for x
    x = 76,027,765.98/9,678.88
  6. Step 6: Final answer
    x = 7,855.02

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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.