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Finding the Fourth Proportional to 9,437.82, 13,019.04 and 5,899.74

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Solution

The fourth proportional to 9,437.82, 13,019.04 and 5,899.74 is: 8,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.82 : 13,019.04 = 5,899.74 : x
  2. Step 2: Convert to fraction form
    9,437.82/13,019.04 = 5,899.74/x
  3. Step 3: Cross multiply
    9,437.82x = 13,019.04 × 5,899.74
  4. Step 4: Simplify right side
    9,437.82x = 76,808,951.05
  5. Step 5: Solve for x
    x = 76,808,951.05/9,437.82
  6. Step 6: Final answer
    x = 8,138.42

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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.