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Finding the Fourth Proportional to 9,326.10, 13,971.54 and 7,221.34

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Solution

The fourth proportional to 9,326.10, 13,971.54 and 7,221.34 is: 10,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.10 : 13,971.54 = 7,221.34 : x
  2. Step 2: Convert to fraction form
    9,326.10/13,971.54 = 7,221.34/x
  3. Step 3: Cross multiply
    9,326.10x = 13,971.54 × 7,221.34
  4. Step 4: Simplify right side
    9,326.10x = 100,893,166.00
  5. Step 5: Solve for x
    x = 100,893,166.00/9,326.10
  6. Step 6: Final answer
    x = 10,818.37

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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.