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Finding the Fourth Proportional to 9,535.70, 13,159.25 and 5,809.70

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Solution

The fourth proportional to 9,535.70, 13,159.25 and 5,809.70 is: 8,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.70 : 13,159.25 = 5,809.70 : x
  2. Step 2: Convert to fraction form
    9,535.70/13,159.25 = 5,809.70/x
  3. Step 3: Cross multiply
    9,535.70x = 13,159.25 × 5,809.70
  4. Step 4: Simplify right side
    9,535.70x = 76,451,199.88
  5. Step 5: Solve for x
    x = 76,451,199.88/9,535.70
  6. Step 6: Final answer
    x = 8,017.37

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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.