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Finding the Fourth Proportional to 14,968.56, 22,452.84 and 8,309.15

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Solution

The fourth proportional to 14,968.56, 22,452.84 and 8,309.15 is: 12,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968.56 : 22,452.84 = 8,309.15 : x
  2. Step 2: Convert to fraction form
    14,968.56/22,452.84 = 8,309.15/x
  3. Step 3: Cross multiply
    14,968.56x = 22,452.84 × 8,309.15
  4. Step 4: Simplify right side
    14,968.56x = 186,563,903.22
  5. Step 5: Solve for x
    x = 186,563,903.22/14,968.56
  6. Step 6: Final answer
    x = 12,463.72

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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.