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Finding the Fourth Proportional to 10,693.75, 14,763.86 and 6,974.23

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Solution

The fourth proportional to 10,693.75, 14,763.86 and 6,974.23 is: 9,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.75 : 14,763.86 = 6,974.23 : x
  2. Step 2: Convert to fraction form
    10,693.75/14,763.86 = 6,974.23/x
  3. Step 3: Cross multiply
    10,693.75x = 14,763.86 × 6,974.23
  4. Step 4: Simplify right side
    10,693.75x = 102,966,555.33
  5. Step 5: Solve for x
    x = 102,966,555.33/10,693.75
  6. Step 6: Final answer
    x = 9,628.67

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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.