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Finding the Fourth Proportional to 14,476.88, 19,978.09 and 7,852.88

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Solution

The fourth proportional to 14,476.88, 19,978.09 and 7,852.88 is: 10,836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.88 : 19,978.09 = 7,852.88 : x
  2. Step 2: Convert to fraction form
    14,476.88/19,978.09 = 7,852.88/x
  3. Step 3: Cross multiply
    14,476.88x = 19,978.09 × 7,852.88
  4. Step 4: Simplify right side
    14,476.88x = 156,885,543.40
  5. Step 5: Solve for x
    x = 156,885,543.40/14,476.88
  6. Step 6: Final answer
    x = 10,836.97

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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.