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Finding the Fourth Proportional to 14,480.63, 19,983.26 and 7,856.63

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Solution

The fourth proportional to 14,480.63, 19,983.26 and 7,856.63 is: 10,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.63 : 19,983.26 = 7,856.63 : x
  2. Step 2: Convert to fraction form
    14,480.63/19,983.26 = 7,856.63/x
  3. Step 3: Cross multiply
    14,480.63x = 19,983.26 × 7,856.63
  4. Step 4: Simplify right side
    14,480.63x = 157,000,999.74
  5. Step 5: Solve for x
    x = 157,000,999.74/14,480.63
  6. Step 6: Final answer
    x = 10,842.14

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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.