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Finding the Fourth Proportional to 16,527.38, 24,797.14 and 7,646.98

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Solution

The fourth proportional to 16,527.38, 24,797.14 and 7,646.98 is: 11,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.38 : 24,797.14 = 7,646.98 : x
  2. Step 2: Convert to fraction form
    16,527.38/24,797.14 = 7,646.98/x
  3. Step 3: Cross multiply
    16,527.38x = 24,797.14 × 7,646.98
  4. Step 4: Simplify right side
    16,527.38x = 189,623,233.64
  5. Step 5: Solve for x
    x = 189,623,233.64/16,527.38
  6. Step 6: Final answer
    x = 11,473.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.