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Finding the Fourth Proportional to 16,596.10, 22,905.75 and 9,527.14

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Solution

The fourth proportional to 16,596.10, 22,905.75 and 9,527.14 is: 13,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.10 : 22,905.75 = 9,527.14 : x
  2. Step 2: Convert to fraction form
    16,596.10/22,905.75 = 9,527.14/x
  3. Step 3: Cross multiply
    16,596.10x = 22,905.75 × 9,527.14
  4. Step 4: Simplify right side
    16,596.10x = 218,226,287.06
  5. Step 5: Solve for x
    x = 218,226,287.06/16,596.10
  6. Step 6: Final answer
    x = 13,149.25

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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.