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Finding the Fourth Proportional to 6,215.68, 9,322.68 and 2,056.24

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Solution

The fourth proportional to 6,215.68, 9,322.68 and 2,056.24 is: 3,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.68 : 9,322.68 = 2,056.24 : x
  2. Step 2: Convert to fraction form
    6,215.68/9,322.68 = 2,056.24/x
  3. Step 3: Cross multiply
    6,215.68x = 9,322.68 × 2,056.24
  4. Step 4: Simplify right side
    6,215.68x = 19,169,667.52
  5. Step 5: Solve for x
    x = 19,169,667.52/6,215.68
  6. Step 6: Final answer
    x = 3,084.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.