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Finding the Fourth Proportional to 14,600, 20,148.02 and 8,312.38

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Solution

The fourth proportional to 14,600, 20,148.02 and 8,312.38 is: 11,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600 : 20,148.02 = 8,312.38 : x
  2. Step 2: Convert to fraction form
    14,600/20,148.02 = 8,312.38/x
  3. Step 3: Cross multiply
    14,600x = 20,148.02 × 8,312.38
  4. Step 4: Simplify right side
    14,600x = 167,477,998.49
  5. Step 5: Solve for x
    x = 167,477,998.49/14,600
  6. Step 6: Final answer
    x = 11,471.10

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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.