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Finding the Fourth Proportional to 14,662.52, 21,969.12 and 9,457.46

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Solution

The fourth proportional to 14,662.52, 21,969.12 and 9,457.46 is: 14,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.52 : 21,969.12 = 9,457.46 : x
  2. Step 2: Convert to fraction form
    14,662.52/21,969.12 = 9,457.46/x
  3. Step 3: Cross multiply
    14,662.52x = 21,969.12 × 9,457.46
  4. Step 4: Simplify right side
    14,662.52x = 207,772,073.64
  5. Step 5: Solve for x
    x = 207,772,073.64/14,662.52
  6. Step 6: Final answer
    x = 14,170.28

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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.