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Finding the Fourth Proportional to 14,470.84, 19,973.34 and 8,186.92

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Solution

The fourth proportional to 14,470.84, 19,973.34 and 8,186.92 is: 11,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.84 : 19,973.34 = 8,186.92 : x
  2. Step 2: Convert to fraction form
    14,470.84/19,973.34 = 8,186.92/x
  3. Step 3: Cross multiply
    14,470.84x = 19,973.34 × 8,186.92
  4. Step 4: Simplify right side
    14,470.84x = 163,520,136.71
  5. Step 5: Solve for x
    x = 163,520,136.71/14,470.84
  6. Step 6: Final answer
    x = 11,299.98

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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.