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Finding the Fourth Proportional to 23,297.94, 34,927.47 and 7,707.06

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Solution

The fourth proportional to 23,297.94, 34,927.47 and 7,707.06 is: 11,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297.94 : 34,927.47 = 7,707.06 : x
  2. Step 2: Convert to fraction form
    23,297.94/34,927.47 = 7,707.06/x
  3. Step 3: Cross multiply
    23,297.94x = 34,927.47 × 7,707.06
  4. Step 4: Simplify right side
    23,297.94x = 269,188,106.94
  5. Step 5: Solve for x
    x = 269,188,106.94/23,297.94
  6. Step 6: Final answer
    x = 11,554.16

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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.