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Finding the Fourth Proportional to 16,646.60, 22,976.16 and 9,577.12

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Solution

The fourth proportional to 16,646.60, 22,976.16 and 9,577.12 is: 13,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.60 : 22,976.16 = 9,577.12 : x
  2. Step 2: Convert to fraction form
    16,646.60/22,976.16 = 9,577.12/x
  3. Step 3: Cross multiply
    16,646.60x = 22,976.16 × 9,577.12
  4. Step 4: Simplify right side
    16,646.60x = 220,045,441.46
  5. Step 5: Solve for x
    x = 220,045,441.46/16,646.60
  6. Step 6: Final answer
    x = 13,218.64

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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.