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Finding the Fourth Proportional to 19,534.71, 29,302.89 and 5,683.71

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Solution

The fourth proportional to 19,534.71, 29,302.89 and 5,683.71 is: 8,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.71 : 29,302.89 = 5,683.71 : x
  2. Step 2: Convert to fraction form
    19,534.71/29,302.89 = 5,683.71/x
  3. Step 3: Cross multiply
    19,534.71x = 29,302.89 × 5,683.71
  4. Step 4: Simplify right side
    19,534.71x = 166,549,128.92
  5. Step 5: Solve for x
    x = 166,549,128.92/19,534.71
  6. Step 6: Final answer
    x = 8,525.81

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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.