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Finding the Fourth Proportional to 17,478.30, 26,206.83 and 7,859.46

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Solution

The fourth proportional to 17,478.30, 26,206.83 and 7,859.46 is: 11,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.30 : 26,206.83 = 7,859.46 : x
  2. Step 2: Convert to fraction form
    17,478.30/26,206.83 = 7,859.46/x
  3. Step 3: Cross multiply
    17,478.30x = 26,206.83 × 7,859.46
  4. Step 4: Simplify right side
    17,478.30x = 205,971,532.11
  5. Step 5: Solve for x
    x = 205,971,532.11/17,478.30
  6. Step 6: Final answer
    x = 11,784.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.