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Finding the Fourth Proportional to 7,584.66, 11,373.89 and 4,470.89

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Solution

The fourth proportional to 7,584.66, 11,373.89 and 4,470.89 is: 6,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.66 : 11,373.89 = 4,470.89 : x
  2. Step 2: Convert to fraction form
    7,584.66/11,373.89 = 4,470.89/x
  3. Step 3: Cross multiply
    7,584.66x = 11,373.89 × 4,470.89
  4. Step 4: Simplify right side
    7,584.66x = 50,851,331.84
  5. Step 5: Solve for x
    x = 50,851,331.84/7,584.66
  6. Step 6: Final answer
    x = 6,704.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.