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Finding the Fourth Proportional to 14,114.92, 19,478.70 and 7,827.28

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Solution

The fourth proportional to 14,114.92, 19,478.70 and 7,827.28 is: 10,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.92 : 19,478.70 = 7,827.28 : x
  2. Step 2: Convert to fraction form
    14,114.92/19,478.70 = 7,827.28/x
  3. Step 3: Cross multiply
    14,114.92x = 19,478.70 × 7,827.28
  4. Step 4: Simplify right side
    14,114.92x = 152,465,238.94
  5. Step 5: Solve for x
    x = 152,465,238.94/14,114.92
  6. Step 6: Final answer
    x = 10,801.71

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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.