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Finding the Fourth Proportional to 15,409.75, 21,265.46 and 8,785.75

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Solution

The fourth proportional to 15,409.75, 21,265.46 and 8,785.75 is: 12,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.75 : 21,265.46 = 8,785.75 : x
  2. Step 2: Convert to fraction form
    15,409.75/21,265.46 = 8,785.75/x
  3. Step 3: Cross multiply
    15,409.75x = 21,265.46 × 8,785.75
  4. Step 4: Simplify right side
    15,409.75x = 186,833,015.20
  5. Step 5: Solve for x
    x = 186,833,015.20/15,409.75
  6. Step 6: Final answer
    x = 12,124.34

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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.