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Finding the Fourth Proportional to 8,347.50, 11,458.16 and 7,382.14

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Solution

The fourth proportional to 8,347.50, 11,458.16 and 7,382.14 is: 10,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.50 : 11,458.16 = 7,382.14 : x
  2. Step 2: Convert to fraction form
    8,347.50/11,458.16 = 7,382.14/x
  3. Step 3: Cross multiply
    8,347.50x = 11,458.16 × 7,382.14
  4. Step 4: Simplify right side
    8,347.50x = 84,585,741.26
  5. Step 5: Solve for x
    x = 84,585,741.26/8,347.50
  6. Step 6: Final answer
    x = 10,133.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.