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Finding the Fourth Proportional to 15,828.36, 21,842.42 and 8,658.10

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Solution

The fourth proportional to 15,828.36, 21,842.42 and 8,658.10 is: 11,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.36 : 21,842.42 = 8,658.10 : x
  2. Step 2: Convert to fraction form
    15,828.36/21,842.42 = 8,658.10/x
  3. Step 3: Cross multiply
    15,828.36x = 21,842.42 × 8,658.10
  4. Step 4: Simplify right side
    15,828.36x = 189,113,856.60
  5. Step 5: Solve for x
    x = 189,113,856.60/15,828.36
  6. Step 6: Final answer
    x = 11,947.79

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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.