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Finding the Fourth Proportional to 16,646.56, 22,972.08 and 9,572.80

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Solution

The fourth proportional to 16,646.56, 22,972.08 and 9,572.80 is: 13,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.56 : 22,972.08 = 9,572.80 : x
  2. Step 2: Convert to fraction form
    16,646.56/22,972.08 = 9,572.80/x
  3. Step 3: Cross multiply
    16,646.56x = 22,972.08 × 9,572.80
  4. Step 4: Simplify right side
    16,646.56x = 219,907,127.42
  5. Step 5: Solve for x
    x = 219,907,127.42/16,646.56
  6. Step 6: Final answer
    x = 13,210.36

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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.