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Finding the Fourth Proportional to 6,833.71, 9,430.54 and 4,000.57

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Solution

The fourth proportional to 6,833.71, 9,430.54 and 4,000.57 is: 5,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.71 : 9,430.54 = 4,000.57 : x
  2. Step 2: Convert to fraction form
    6,833.71/9,430.54 = 4,000.57/x
  3. Step 3: Cross multiply
    6,833.71x = 9,430.54 × 4,000.57
  4. Step 4: Simplify right side
    6,833.71x = 37,727,535.41
  5. Step 5: Solve for x
    x = 37,727,535.41/6,833.71
  6. Step 6: Final answer
    x = 5,520.80

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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.