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Finding the Fourth Proportional to 14,384.64, 19,849.68 and 8,415.48

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Solution

The fourth proportional to 14,384.64, 19,849.68 and 8,415.48 is: 11,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.64 : 19,849.68 = 8,415.48 : x
  2. Step 2: Convert to fraction form
    14,384.64/19,849.68 = 8,415.48/x
  3. Step 3: Cross multiply
    14,384.64x = 19,849.68 × 8,415.48
  4. Step 4: Simplify right side
    14,384.64x = 167,044,585.05
  5. Step 5: Solve for x
    x = 167,044,585.05/14,384.64
  6. Step 6: Final answer
    x = 11,612.71

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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.