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Finding the Fourth Proportional to 14,349.64, 19,802.49 and 7,976.04

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Solution

The fourth proportional to 14,349.64, 19,802.49 and 7,976.04 is: 11,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.64 : 19,802.49 = 7,976.04 : x
  2. Step 2: Convert to fraction form
    14,349.64/19,802.49 = 7,976.04/x
  3. Step 3: Cross multiply
    14,349.64x = 19,802.49 × 7,976.04
  4. Step 4: Simplify right side
    14,349.64x = 157,945,451.63
  5. Step 5: Solve for x
    x = 157,945,451.63/14,349.64
  6. Step 6: Final answer
    x = 11,006.93

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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.