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Finding the Fourth Proportional to 14,349.91, 19,801.74 and 7,976.00

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Solution

The fourth proportional to 14,349.91, 19,801.74 and 7,976.00 is: 11,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.91 : 19,801.74 = 7,976.00 : x
  2. Step 2: Convert to fraction form
    14,349.91/19,801.74 = 7,976.00/x
  3. Step 3: Cross multiply
    14,349.91x = 19,801.74 × 7,976.00
  4. Step 4: Simplify right side
    14,349.91x = 157,938,623.58
  5. Step 5: Solve for x
    x = 157,938,623.58/14,349.91
  6. Step 6: Final answer
    x = 11,006.25

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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.