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Finding the Fourth Proportional to 14,109.76, 19,472.14 and 7,822.14

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Solution

The fourth proportional to 14,109.76, 19,472.14 and 7,822.14 is: 10,794.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.76 : 19,472.14 = 7,822.14 : x
  2. Step 2: Convert to fraction form
    14,109.76/19,472.14 = 7,822.14/x
  3. Step 3: Cross multiply
    14,109.76x = 19,472.14 × 7,822.14
  4. Step 4: Simplify right side
    14,109.76x = 152,313,805.18
  5. Step 5: Solve for x
    x = 152,313,805.18/14,109.76
  6. Step 6: Final answer
    x = 10,794.93

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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.