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Finding the Fourth Proportional to 12,100.70, 16,698.44 and 7,065.20

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Solution

The fourth proportional to 12,100.70, 16,698.44 and 7,065.20 is: 9,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.70 : 16,698.44 = 7,065.20 : x
  2. Step 2: Convert to fraction form
    12,100.70/16,698.44 = 7,065.20/x
  3. Step 3: Cross multiply
    12,100.70x = 16,698.44 × 7,065.20
  4. Step 4: Simplify right side
    12,100.70x = 117,977,818.29
  5. Step 5: Solve for x
    x = 117,977,818.29/12,100.70
  6. Step 6: Final answer
    x = 9,749.67

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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.