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Finding the Fourth Proportional to 7,131.42, 9,844.06 and 6,384.02

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Solution

The fourth proportional to 7,131.42, 9,844.06 and 6,384.02 is: 8,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.42 : 9,844.06 = 6,384.02 : x
  2. Step 2: Convert to fraction form
    7,131.42/9,844.06 = 6,384.02/x
  3. Step 3: Cross multiply
    7,131.42x = 9,844.06 × 6,384.02
  4. Step 4: Simplify right side
    7,131.42x = 62,844,675.92
  5. Step 5: Solve for x
    x = 62,844,675.92/7,131.42
  6. Step 6: Final answer
    x = 8,812.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.