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Finding the Fourth Proportional to 14,125.47, 19,494.69 and 8,159.01

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Solution

The fourth proportional to 14,125.47, 19,494.69 and 8,159.01 is: 11,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.47 : 19,494.69 = 8,159.01 : x
  2. Step 2: Convert to fraction form
    14,125.47/19,494.69 = 8,159.01/x
  3. Step 3: Cross multiply
    14,125.47x = 19,494.69 × 8,159.01
  4. Step 4: Simplify right side
    14,125.47x = 159,057,370.66
  5. Step 5: Solve for x
    x = 159,057,370.66/14,125.47
  6. Step 6: Final answer
    x = 11,260.32

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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.