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Finding the Fourth Proportional to 14,898.42, 20,559 and 8,184.92

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Solution

The fourth proportional to 14,898.42, 20,559 and 8,184.92 is: 11,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898.42 : 20,559 = 8,184.92 : x
  2. Step 2: Convert to fraction form
    14,898.42/20,559 = 8,184.92/x
  3. Step 3: Cross multiply
    14,898.42x = 20,559 × 8,184.92
  4. Step 4: Simplify right side
    14,898.42x = 168,273,770.28
  5. Step 5: Solve for x
    x = 168,273,770.28/14,898.42
  6. Step 6: Final answer
    x = 11,294.74

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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.