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Finding the Fourth Proportional to 16,250.36, 22,427 and 9,875.48

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Solution

The fourth proportional to 16,250.36, 22,427 and 9,875.48 is: 13,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250.36 : 22,427 = 9,875.48 : x
  2. Step 2: Convert to fraction form
    16,250.36/22,427 = 9,875.48/x
  3. Step 3: Cross multiply
    16,250.36x = 22,427 × 9,875.48
  4. Step 4: Simplify right side
    16,250.36x = 221,477,389.96
  5. Step 5: Solve for x
    x = 221,477,389.96/16,250.36
  6. Step 6: Final answer
    x = 13,629.08

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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.