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Finding the Fourth Proportional to 14,984.92, 20,665.85 and 9,674.16

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Solution

The fourth proportional to 14,984.92, 20,665.85 and 9,674.16 is: 13,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984.92 : 20,665.85 = 9,674.16 : x
  2. Step 2: Convert to fraction form
    14,984.92/20,665.85 = 9,674.16/x
  3. Step 3: Cross multiply
    14,984.92x = 20,665.85 × 9,674.16
  4. Step 4: Simplify right side
    14,984.92x = 199,924,613.57
  5. Step 5: Solve for x
    x = 199,924,613.57/14,984.92
  6. Step 6: Final answer
    x = 13,341.72

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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.