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Finding the Fourth Proportional to 9,102.84, 12,562.86 and 5,568.40

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Solution

The fourth proportional to 9,102.84, 12,562.86 and 5,568.40 is: 7,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.84 : 12,562.86 = 5,568.40 : x
  2. Step 2: Convert to fraction form
    9,102.84/12,562.86 = 5,568.40/x
  3. Step 3: Cross multiply
    9,102.84x = 12,562.86 × 5,568.40
  4. Step 4: Simplify right side
    9,102.84x = 69,955,029.62
  5. Step 5: Solve for x
    x = 69,955,029.62/9,102.84
  6. Step 6: Final answer
    x = 7,684.97

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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.