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Finding the Fourth Proportional to 6,527.36, 9,008.64 and 6,323.36

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Solution

The fourth proportional to 6,527.36, 9,008.64 and 6,323.36 is: 8,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.36 : 9,008.64 = 6,323.36 : x
  2. Step 2: Convert to fraction form
    6,527.36/9,008.64 = 6,323.36/x
  3. Step 3: Cross multiply
    6,527.36x = 9,008.64 × 6,323.36
  4. Step 4: Simplify right side
    6,527.36x = 56,964,873.83
  5. Step 5: Solve for x
    x = 56,964,873.83/6,527.36
  6. Step 6: Final answer
    x = 8,727.09

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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.