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Finding the Fourth Proportional to 11,930.52, 16,409.34 and 9,567.48

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Solution

The fourth proportional to 11,930.52, 16,409.34 and 9,567.48 is: 13,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.52 : 16,409.34 = 9,567.48 : x
  2. Step 2: Convert to fraction form
    11,930.52/16,409.34 = 9,567.48/x
  3. Step 3: Cross multiply
    11,930.52x = 16,409.34 × 9,567.48
  4. Step 4: Simplify right side
    11,930.52x = 156,996,032.26
  5. Step 5: Solve for x
    x = 156,996,032.26/11,930.52
  6. Step 6: Final answer
    x = 13,159.19

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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.