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Finding the Fourth Proportional to 9,593.70, 14,405.40 and 5,219.70

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Solution

The fourth proportional to 9,593.70, 14,405.40 and 5,219.70 is: 7,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.70 : 14,405.40 = 5,219.70 : x
  2. Step 2: Convert to fraction form
    9,593.70/14,405.40 = 5,219.70/x
  3. Step 3: Cross multiply
    9,593.70x = 14,405.40 × 5,219.70
  4. Step 4: Simplify right side
    9,593.70x = 75,191,866.38
  5. Step 5: Solve for x
    x = 75,191,866.38/9,593.70
  6. Step 6: Final answer
    x = 7,837.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.