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Finding the Fourth Proportional to 10,704.41, 16,041.92 and 6,026.63

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Solution

The fourth proportional to 10,704.41, 16,041.92 and 6,026.63 is: 9,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.41 : 16,041.92 = 6,026.63 : x
  2. Step 2: Convert to fraction form
    10,704.41/16,041.92 = 6,026.63/x
  3. Step 3: Cross multiply
    10,704.41x = 16,041.92 × 6,026.63
  4. Step 4: Simplify right side
    10,704.41x = 96,678,686.20
  5. Step 5: Solve for x
    x = 96,678,686.20/10,704.41
  6. Step 6: Final answer
    x = 9,031.67

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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.