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Finding the Fourth Proportional to 14,470.65, 21,705.98 and 7,882.92

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Solution

The fourth proportional to 14,470.65, 21,705.98 and 7,882.92 is: 11,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.65 : 21,705.98 = 7,882.92 : x
  2. Step 2: Convert to fraction form
    14,470.65/21,705.98 = 7,882.92/x
  3. Step 3: Cross multiply
    14,470.65x = 21,705.98 × 7,882.92
  4. Step 4: Simplify right side
    14,470.65x = 171,106,464.45
  5. Step 5: Solve for x
    x = 171,106,464.45/14,470.65
  6. Step 6: Final answer
    x = 11,824.38

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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.