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Finding the Fourth Proportional to 19,284, 26,609.23 and 10,785.68

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Solution

The fourth proportional to 19,284, 26,609.23 and 10,785.68 is: 14,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,284 : 26,609.23 = 10,785.68 : x
  2. Step 2: Convert to fraction form
    19,284/26,609.23 = 10,785.68/x
  3. Step 3: Cross multiply
    19,284x = 26,609.23 × 10,785.68
  4. Step 4: Simplify right side
    19,284x = 286,998,639.83
  5. Step 5: Solve for x
    x = 286,998,639.83/19,284
  6. Step 6: Final answer
    x = 14,882.73

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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.