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Finding the Fourth Proportional to 16,275.22, 24,412.76 and 6,913.80

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Solution

The fourth proportional to 16,275.22, 24,412.76 and 6,913.80 is: 10,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.22 : 24,412.76 = 6,913.80 : x
  2. Step 2: Convert to fraction form
    16,275.22/24,412.76 = 6,913.80/x
  3. Step 3: Cross multiply
    16,275.22x = 24,412.76 × 6,913.80
  4. Step 4: Simplify right side
    16,275.22x = 168,784,905.52
  5. Step 5: Solve for x
    x = 168,784,905.52/16,275.22
  6. Step 6: Final answer
    x = 10,370.67

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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.