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Finding the Fourth Proportional to 14,349.56, 19,802.16 and 7,976.12

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Solution

The fourth proportional to 14,349.56, 19,802.16 and 7,976.12 is: 11,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.56 : 19,802.16 = 7,976.12 : x
  2. Step 2: Convert to fraction form
    14,349.56/19,802.16 = 7,976.12/x
  3. Step 3: Cross multiply
    14,349.56x = 19,802.16 × 7,976.12
  4. Step 4: Simplify right side
    14,349.56x = 157,944,305.41
  5. Step 5: Solve for x
    x = 157,944,305.41/14,349.56
  6. Step 6: Final answer
    x = 11,006.91

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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.