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Finding the Fourth Proportional to 14,967.80, 20,653.96 and 8,253

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Solution

The fourth proportional to 14,967.80, 20,653.96 and 8,253 is: 11,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.80 : 20,653.96 = 8,253 : x
  2. Step 2: Convert to fraction form
    14,967.80/20,653.96 = 8,253/x
  3. Step 3: Cross multiply
    14,967.80x = 20,653.96 × 8,253
  4. Step 4: Simplify right side
    14,967.80x = 170,457,131.88
  5. Step 5: Solve for x
    x = 170,457,131.88/14,967.80
  6. Step 6: Final answer
    x = 11,388.26

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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.