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Finding the Fourth Proportional to 14,109.92, 19,472.40 and 7,822.16

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Solution

The fourth proportional to 14,109.92, 19,472.40 and 7,822.16 is: 10,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.92 : 19,472.40 = 7,822.16 : x
  2. Step 2: Convert to fraction form
    14,109.92/19,472.40 = 7,822.16/x
  3. Step 3: Cross multiply
    14,109.92x = 19,472.40 × 7,822.16
  4. Step 4: Simplify right side
    14,109.92x = 152,316,228.38
  5. Step 5: Solve for x
    x = 152,316,228.38/14,109.92
  6. Step 6: Final answer
    x = 10,794.97

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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.