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Finding the Fourth Proportional to 8,349.51, 11,460.92 and 7,384.14

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Solution

The fourth proportional to 8,349.51, 11,460.92 and 7,384.14 is: 10,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.51 : 11,460.92 = 7,384.14 : x
  2. Step 2: Convert to fraction form
    8,349.51/11,460.92 = 7,384.14/x
  3. Step 3: Cross multiply
    8,349.51x = 11,460.92 × 7,384.14
  4. Step 4: Simplify right side
    8,349.51x = 84,629,000.89
  5. Step 5: Solve for x
    x = 84,629,000.89/8,349.51
  6. Step 6: Final answer
    x = 10,135.80

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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.