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Finding the Fourth Proportional to 15,860.66, 21,887.49 and 9,146.30

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Solution

The fourth proportional to 15,860.66, 21,887.49 and 9,146.30 is: 12,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,860.66 : 21,887.49 = 9,146.30 : x
  2. Step 2: Convert to fraction form
    15,860.66/21,887.49 = 9,146.30/x
  3. Step 3: Cross multiply
    15,860.66x = 21,887.49 × 9,146.30
  4. Step 4: Simplify right side
    15,860.66x = 200,189,549.79
  5. Step 5: Solve for x
    x = 200,189,549.79/15,860.66
  6. Step 6: Final answer
    x = 12,621.77

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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.