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Finding the Fourth Proportional to 6,701.92, 9,237.89 and 5,283.25

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Solution

The fourth proportional to 6,701.92, 9,237.89 and 5,283.25 is: 7,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.92 : 9,237.89 = 5,283.25 : x
  2. Step 2: Convert to fraction form
    6,701.92/9,237.89 = 5,283.25/x
  3. Step 3: Cross multiply
    6,701.92x = 9,237.89 × 5,283.25
  4. Step 4: Simplify right side
    6,701.92x = 48,806,072.46
  5. Step 5: Solve for x
    x = 48,806,072.46/6,701.92
  6. Step 6: Final answer
    x = 7,282.40

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Half scale
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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.