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Finding the Fourth Proportional to 19,778.74, 29,658.51 and 7,304.64

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Solution

The fourth proportional to 19,778.74, 29,658.51 and 7,304.64 is: 10,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.74 : 29,658.51 = 7,304.64 : x
  2. Step 2: Convert to fraction form
    19,778.74/29,658.51 = 7,304.64/x
  3. Step 3: Cross multiply
    19,778.74x = 29,658.51 × 7,304.64
  4. Step 4: Simplify right side
    19,778.74x = 216,644,590.19
  5. Step 5: Solve for x
    x = 216,644,590.19/19,778.74
  6. Step 6: Final answer
    x = 10,953.41

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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.