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Finding the Fourth Proportional to 16,322.60, 22,525 and 9,152.48

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Solution

The fourth proportional to 16,322.60, 22,525 and 9,152.48 is: 12,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.60 : 22,525 = 9,152.48 : x
  2. Step 2: Convert to fraction form
    16,322.60/22,525 = 9,152.48/x
  3. Step 3: Cross multiply
    16,322.60x = 22,525 × 9,152.48
  4. Step 4: Simplify right side
    16,322.60x = 206,159,612
  5. Step 5: Solve for x
    x = 206,159,612/16,322.60
  6. Step 6: Final answer
    x = 12,630.32

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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.