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Finding the Fourth Proportional to 9,357.48, 13,967.64 and 8,250.24

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Solution

The fourth proportional to 9,357.48, 13,967.64 and 8,250.24 is: 12,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.48 : 13,967.64 = 8,250.24 : x
  2. Step 2: Convert to fraction form
    9,357.48/13,967.64 = 8,250.24/x
  3. Step 3: Cross multiply
    9,357.48x = 13,967.64 × 8,250.24
  4. Step 4: Simplify right side
    9,357.48x = 115,236,382.23
  5. Step 5: Solve for x
    x = 115,236,382.23/9,357.48
  6. Step 6: Final answer
    x = 12,314.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.