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Finding the Fourth Proportional to 14,969.37, 20,656.16 and 8,254.61

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Solution

The fourth proportional to 14,969.37, 20,656.16 and 8,254.61 is: 11,390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.37 : 20,656.16 = 8,254.61 : x
  2. Step 2: Convert to fraction form
    14,969.37/20,656.16 = 8,254.61/x
  3. Step 3: Cross multiply
    14,969.37x = 20,656.16 × 8,254.61
  4. Step 4: Simplify right side
    14,969.37x = 170,508,400.34
  5. Step 5: Solve for x
    x = 170,508,400.34/14,969.37
  6. Step 6: Final answer
    x = 11,390.49

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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.