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Finding the Fourth Proportional to 15,978.26, 22,043.06 and 9,514.28

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Solution

The fourth proportional to 15,978.26, 22,043.06 and 9,514.28 is: 13,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.26 : 22,043.06 = 9,514.28 : x
  2. Step 2: Convert to fraction form
    15,978.26/22,043.06 = 9,514.28/x
  3. Step 3: Cross multiply
    15,978.26x = 22,043.06 × 9,514.28
  4. Step 4: Simplify right side
    15,978.26x = 209,723,852.43
  5. Step 5: Solve for x
    x = 209,723,852.43/15,978.26
  6. Step 6: Final answer
    x = 13,125.57

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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.