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Finding the Fourth Proportional to 13,471, 18,590.34 and 7,502.92

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Solution

The fourth proportional to 13,471, 18,590.34 and 7,502.92 is: 10,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471 : 18,590.34 = 7,502.92 : x
  2. Step 2: Convert to fraction form
    13,471/18,590.34 = 7,502.92/x
  3. Step 3: Cross multiply
    13,471x = 18,590.34 × 7,502.92
  4. Step 4: Simplify right side
    13,471x = 139,481,833.79
  5. Step 5: Solve for x
    x = 139,481,833.79/13,471
  6. Step 6: Final answer
    x = 10,354.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.