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Finding the Fourth Proportional to 6,322.74, 8,724.15 and 5,382.06

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Solution

The fourth proportional to 6,322.74, 8,724.15 and 5,382.06 is: 7,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.74 : 8,724.15 = 5,382.06 : x
  2. Step 2: Convert to fraction form
    6,322.74/8,724.15 = 5,382.06/x
  3. Step 3: Cross multiply
    6,322.74x = 8,724.15 × 5,382.06
  4. Step 4: Simplify right side
    6,322.74x = 46,953,898.75
  5. Step 5: Solve for x
    x = 46,953,898.75/6,322.74
  6. Step 6: Final answer
    x = 7,426.19

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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.