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Finding the Fourth Proportional to 19,580.76, 29,371.14 and 5,729.76

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Solution

The fourth proportional to 19,580.76, 29,371.14 and 5,729.76 is: 8,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.76 : 29,371.14 = 5,729.76 : x
  2. Step 2: Convert to fraction form
    19,580.76/29,371.14 = 5,729.76/x
  3. Step 3: Cross multiply
    19,580.76x = 29,371.14 × 5,729.76
  4. Step 4: Simplify right side
    19,580.76x = 168,289,583.13
  5. Step 5: Solve for x
    x = 168,289,583.13/19,580.76
  6. Step 6: Final answer
    x = 8,594.64

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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.