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Finding the Fourth Proportional to 19,478.14, 29,230.14 and 7,166.14

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Solution

The fourth proportional to 19,478.14, 29,230.14 and 7,166.14 is: 10,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,478.14 : 29,230.14 = 7,166.14 : x
  2. Step 2: Convert to fraction form
    19,478.14/29,230.14 = 7,166.14/x
  3. Step 3: Cross multiply
    19,478.14x = 29,230.14 × 7,166.14
  4. Step 4: Simplify right side
    19,478.14x = 209,467,275.46
  5. Step 5: Solve for x
    x = 209,467,275.46/19,478.14
  6. Step 6: Final answer
    x = 10,753.97

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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.