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Finding the Fourth Proportional to 15,121.76, 20,869.38 and 8,407.26

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Solution

The fourth proportional to 15,121.76, 20,869.38 and 8,407.26 is: 11,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121.76 : 20,869.38 = 8,407.26 : x
  2. Step 2: Convert to fraction form
    15,121.76/20,869.38 = 8,407.26/x
  3. Step 3: Cross multiply
    15,121.76x = 20,869.38 × 8,407.26
  4. Step 4: Simplify right side
    15,121.76x = 175,454,303.70
  5. Step 5: Solve for x
    x = 175,454,303.70/15,121.76
  6. Step 6: Final answer
    x = 11,602.77

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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.