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Finding the Fourth Proportional to 23,946, 35,918.16 and 7,305.36

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Solution

The fourth proportional to 23,946, 35,918.16 and 7,305.36 is: 10,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,946 : 35,918.16 = 7,305.36 : x
  2. Step 2: Convert to fraction form
    23,946/35,918.16 = 7,305.36/x
  3. Step 3: Cross multiply
    23,946x = 35,918.16 × 7,305.36
  4. Step 4: Simplify right side
    23,946x = 262,395,089.34
  5. Step 5: Solve for x
    x = 262,395,089.34/23,946
  6. Step 6: Final answer
    x = 10,957.78

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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.