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Finding the Fourth Proportional to 19,594.29, 29,391.43 and 7,904.77

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Solution

The fourth proportional to 19,594.29, 29,391.43 and 7,904.77 is: 11,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.29 : 29,391.43 = 7,904.77 : x
  2. Step 2: Convert to fraction form
    19,594.29/29,391.43 = 7,904.77/x
  3. Step 3: Cross multiply
    19,594.29x = 29,391.43 × 7,904.77
  4. Step 4: Simplify right side
    19,594.29x = 232,332,494.12
  5. Step 5: Solve for x
    x = 232,332,494.12/19,594.29
  6. Step 6: Final answer
    x = 11,857.15

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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.