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Finding the Fourth Proportional to 12,285.54, 16,954.92 and 7,570.13

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Solution

The fourth proportional to 12,285.54, 16,954.92 and 7,570.13 is: 10,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.54 : 16,954.92 = 7,570.13 : x
  2. Step 2: Convert to fraction form
    12,285.54/16,954.92 = 7,570.13/x
  3. Step 3: Cross multiply
    12,285.54x = 16,954.92 × 7,570.13
  4. Step 4: Simplify right side
    12,285.54x = 128,350,863.77
  5. Step 5: Solve for x
    x = 128,350,863.77/12,285.54
  6. Step 6: Final answer
    x = 10,447.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.