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Finding the Fourth Proportional to 16,297.14, 24,437.48 and 7,964.68

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Solution

The fourth proportional to 16,297.14, 24,437.48 and 7,964.68 is: 11,943.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.14 : 24,437.48 = 7,964.68 : x
  2. Step 2: Convert to fraction form
    16,297.14/24,437.48 = 7,964.68/x
  3. Step 3: Cross multiply
    16,297.14x = 24,437.48 × 7,964.68
  4. Step 4: Simplify right side
    16,297.14x = 194,636,708.21
  5. Step 5: Solve for x
    x = 194,636,708.21/16,297.14
  6. Step 6: Final answer
    x = 11,943.00

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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.