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Finding the Fourth Proportional to 11,896.48, 17,870.47 and 7,734.35

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Solution

The fourth proportional to 11,896.48, 17,870.47 and 7,734.35 is: 11,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.48 : 17,870.47 = 7,734.35 : x
  2. Step 2: Convert to fraction form
    11,896.48/17,870.47 = 7,734.35/x
  3. Step 3: Cross multiply
    11,896.48x = 17,870.47 × 7,734.35
  4. Step 4: Simplify right side
    11,896.48x = 138,216,424.97
  5. Step 5: Solve for x
    x = 138,216,424.97/11,896.48
  6. Step 6: Final answer
    x = 11,618.26

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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.