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Finding the Fourth Proportional to 15,970.88, 22,039.80 and 8,897.24

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Solution

The fourth proportional to 15,970.88, 22,039.80 and 8,897.24 is: 12,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.88 : 22,039.80 = 8,897.24 : x
  2. Step 2: Convert to fraction form
    15,970.88/22,039.80 = 8,897.24/x
  3. Step 3: Cross multiply
    15,970.88x = 22,039.80 × 8,897.24
  4. Step 4: Simplify right side
    15,970.88x = 196,093,390.15
  5. Step 5: Solve for x
    x = 196,093,390.15/15,970.88
  6. Step 6: Final answer
    x = 12,278.18

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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.