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Finding the Fourth Proportional to 9,362.34, 14,040.69 and 7,714.80

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Solution

The fourth proportional to 9,362.34, 14,040.69 and 7,714.80 is: 11,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.34 : 14,040.69 = 7,714.80 : x
  2. Step 2: Convert to fraction form
    9,362.34/14,040.69 = 7,714.80/x
  3. Step 3: Cross multiply
    9,362.34x = 14,040.69 × 7,714.80
  4. Step 4: Simplify right side
    9,362.34x = 108,321,115.21
  5. Step 5: Solve for x
    x = 108,321,115.21/9,362.34
  6. Step 6: Final answer
    x = 11,569.88

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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.