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Finding the Fourth Proportional to 7,047.84, 9,725.36 and 4,214.64

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Solution

The fourth proportional to 7,047.84, 9,725.36 and 4,214.64 is: 5,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.84 : 9,725.36 = 4,214.64 : x
  2. Step 2: Convert to fraction form
    7,047.84/9,725.36 = 4,214.64/x
  3. Step 3: Cross multiply
    7,047.84x = 9,725.36 × 4,214.64
  4. Step 4: Simplify right side
    7,047.84x = 40,988,891.27
  5. Step 5: Solve for x
    x = 40,988,891.27/7,047.84
  6. Step 6: Final answer
    x = 5,815.81

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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.