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Finding the Fourth Proportional to 15,122.69, 20,870.73 and 8,409.71

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Solution

The fourth proportional to 15,122.69, 20,870.73 and 8,409.71 is: 11,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.69 : 20,870.73 = 8,409.71 : x
  2. Step 2: Convert to fraction form
    15,122.69/20,870.73 = 8,409.71/x
  3. Step 3: Cross multiply
    15,122.69x = 20,870.73 × 8,409.71
  4. Step 4: Simplify right side
    15,122.69x = 175,516,786.79
  5. Step 5: Solve for x
    x = 175,516,786.79/15,122.69
  6. Step 6: Final answer
    x = 11,606.19

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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.