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Finding the Fourth Proportional to 14,659.65, 21,980.61 and 5,764.32

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Solution

The fourth proportional to 14,659.65, 21,980.61 and 5,764.32 is: 8,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.65 : 21,980.61 = 5,764.32 : x
  2. Step 2: Convert to fraction form
    14,659.65/21,980.61 = 5,764.32/x
  3. Step 3: Cross multiply
    14,659.65x = 21,980.61 × 5,764.32
  4. Step 4: Simplify right side
    14,659.65x = 126,703,269.84
  5. Step 5: Solve for x
    x = 126,703,269.84/14,659.65
  6. Step 6: Final answer
    x = 8,642.99

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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.