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Finding the Fourth Proportional to 21,866.88, 32,802.16 and 6,877.44

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Solution

The fourth proportional to 21,866.88, 32,802.16 and 6,877.44 is: 10,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866.88 : 32,802.16 = 6,877.44 : x
  2. Step 2: Convert to fraction form
    21,866.88/32,802.16 = 6,877.44/x
  3. Step 3: Cross multiply
    21,866.88x = 32,802.16 × 6,877.44
  4. Step 4: Simplify right side
    21,866.88x = 225,594,887.27
  5. Step 5: Solve for x
    x = 225,594,887.27/21,866.88
  6. Step 6: Final answer
    x = 10,316.74

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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.