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Finding the Fourth Proportional to 16,646.56, 22,973.60 and 9,575.28

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Solution

The fourth proportional to 16,646.56, 22,973.60 and 9,575.28 is: 13,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.56 : 22,973.60 = 9,575.28 : x
  2. Step 2: Convert to fraction form
    16,646.56/22,973.60 = 9,575.28/x
  3. Step 3: Cross multiply
    16,646.56x = 22,973.60 × 9,575.28
  4. Step 4: Simplify right side
    16,646.56x = 219,978,652.61
  5. Step 5: Solve for x
    x = 219,978,652.61/16,646.56
  6. Step 6: Final answer
    x = 13,214.66

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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.