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Finding the Fourth Proportional to 12,898.71, 19,348.97 and 5,107.50

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Solution

The fourth proportional to 12,898.71, 19,348.97 and 5,107.50 is: 7,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.71 : 19,348.97 = 5,107.50 : x
  2. Step 2: Convert to fraction form
    12,898.71/19,348.97 = 5,107.50/x
  3. Step 3: Cross multiply
    12,898.71x = 19,348.97 × 5,107.50
  4. Step 4: Simplify right side
    12,898.71x = 98,824,838.74
  5. Step 5: Solve for x
    x = 98,824,838.74/12,898.71
  6. Step 6: Final answer
    x = 7,661.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.