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Finding the Fourth Proportional to 15,889.68, 21,929.16 and 9,177.60

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Solution

The fourth proportional to 15,889.68, 21,929.16 and 9,177.60 is: 12,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.68 : 21,929.16 = 9,177.60 : x
  2. Step 2: Convert to fraction form
    15,889.68/21,929.16 = 9,177.60/x
  3. Step 3: Cross multiply
    15,889.68x = 21,929.16 × 9,177.60
  4. Step 4: Simplify right side
    15,889.68x = 201,257,058.82
  5. Step 5: Solve for x
    x = 201,257,058.82/15,889.68
  6. Step 6: Final answer
    x = 12,665.90

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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.