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Finding the Fourth Proportional to 14,470.98, 19,970.49 and 8,182.98

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Solution

The fourth proportional to 14,470.98, 19,970.49 and 8,182.98 is: 11,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.98 : 19,970.49 = 8,182.98 : x
  2. Step 2: Convert to fraction form
    14,470.98/19,970.49 = 8,182.98/x
  3. Step 3: Cross multiply
    14,470.98x = 19,970.49 × 8,182.98
  4. Step 4: Simplify right side
    14,470.98x = 163,418,120.26
  5. Step 5: Solve for x
    x = 163,418,120.26/14,470.98
  6. Step 6: Final answer
    x = 11,292.82

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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.