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Finding the Fourth Proportional to 5,947.50, 8,207.81 and 3,294.92

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Solution

The fourth proportional to 5,947.50, 8,207.81 and 3,294.92 is: 4,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.50 : 8,207.81 = 3,294.92 : x
  2. Step 2: Convert to fraction form
    5,947.50/8,207.81 = 3,294.92/x
  3. Step 3: Cross multiply
    5,947.50x = 8,207.81 × 3,294.92
  4. Step 4: Simplify right side
    5,947.50x = 27,044,019.81
  5. Step 5: Solve for x
    x = 27,044,019.81/5,947.50
  6. Step 6: Final answer
    x = 4,547.12

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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.