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Finding the Fourth Proportional to 14,470.52, 19,969.24 and 8,097.12

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Solution

The fourth proportional to 14,470.52, 19,969.24 and 8,097.12 is: 11,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.52 : 19,969.24 = 8,097.12 : x
  2. Step 2: Convert to fraction form
    14,470.52/19,969.24 = 8,097.12/x
  3. Step 3: Cross multiply
    14,470.52x = 19,969.24 × 8,097.12
  4. Step 4: Simplify right side
    14,470.52x = 161,693,332.59
  5. Step 5: Solve for x
    x = 161,693,332.59/14,470.52
  6. Step 6: Final answer
    x = 11,173.98

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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.