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Finding the Fourth Proportional to 16,970.52, 25,455.96 and 9,228.54

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Solution

The fourth proportional to 16,970.52, 25,455.96 and 9,228.54 is: 13,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970.52 : 25,455.96 = 9,228.54 : x
  2. Step 2: Convert to fraction form
    16,970.52/25,455.96 = 9,228.54/x
  3. Step 3: Cross multiply
    16,970.52x = 25,455.96 × 9,228.54
  4. Step 4: Simplify right side
    16,970.52x = 234,921,345.10
  5. Step 5: Solve for x
    x = 234,921,345.10/16,970.52
  6. Step 6: Final answer
    x = 13,842.91

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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.