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Finding the Fourth Proportional to 15,658.23, 21,609.72 and 8,586

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Solution

The fourth proportional to 15,658.23, 21,609.72 and 8,586 is: 11,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.23 : 21,609.72 = 8,586 : x
  2. Step 2: Convert to fraction form
    15,658.23/21,609.72 = 8,586/x
  3. Step 3: Cross multiply
    15,658.23x = 21,609.72 × 8,586
  4. Step 4: Simplify right side
    15,658.23x = 185,541,055.92
  5. Step 5: Solve for x
    x = 185,541,055.92/15,658.23
  6. Step 6: Final answer
    x = 11,849.43

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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.