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Finding the Fourth Proportional to 16,507.40, 24,764.70 and 5,412.20

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Solution

The fourth proportional to 16,507.40, 24,764.70 and 5,412.20 is: 8,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.40 : 24,764.70 = 5,412.20 : x
  2. Step 2: Convert to fraction form
    16,507.40/24,764.70 = 5,412.20/x
  3. Step 3: Cross multiply
    16,507.40x = 24,764.70 × 5,412.20
  4. Step 4: Simplify right side
    16,507.40x = 134,031,509.34
  5. Step 5: Solve for x
    x = 134,031,509.34/16,507.40
  6. Step 6: Final answer
    x = 8,119.48

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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.