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Finding the Fourth Proportional to 6,130.99, 9,196.31 and 1,970.97

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Solution

The fourth proportional to 6,130.99, 9,196.31 and 1,970.97 is: 2,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.99 : 9,196.31 = 1,970.97 : x
  2. Step 2: Convert to fraction form
    6,130.99/9,196.31 = 1,970.97/x
  3. Step 3: Cross multiply
    6,130.99x = 9,196.31 × 1,970.97
  4. Step 4: Simplify right side
    6,130.99x = 18,125,610.07
  5. Step 5: Solve for x
    x = 18,125,610.07/6,130.99
  6. Step 6: Final answer
    x = 2,956.39

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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.