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Finding the Fourth Proportional to 14,122.92, 19,490.28 and 7,834.92

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Solution

The fourth proportional to 14,122.92, 19,490.28 and 7,834.92 is: 10,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.92 : 19,490.28 = 7,834.92 : x
  2. Step 2: Convert to fraction form
    14,122.92/19,490.28 = 7,834.92/x
  3. Step 3: Cross multiply
    14,122.92x = 19,490.28 × 7,834.92
  4. Step 4: Simplify right side
    14,122.92x = 152,704,784.58
  5. Step 5: Solve for x
    x = 152,704,784.58/14,122.92
  6. Step 6: Final answer
    x = 10,812.55

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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.