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Finding the Fourth Proportional to 4,704.46, 7,055.78 and 4,470.30

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Solution

The fourth proportional to 4,704.46, 7,055.78 and 4,470.30 is: 6,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.46 : 7,055.78 = 4,470.30 : x
  2. Step 2: Convert to fraction form
    4,704.46/7,055.78 = 4,470.30/x
  3. Step 3: Cross multiply
    4,704.46x = 7,055.78 × 4,470.30
  4. Step 4: Simplify right side
    4,704.46x = 31,541,430.98
  5. Step 5: Solve for x
    x = 31,541,430.98/4,704.46
  6. Step 6: Final answer
    x = 6,704.58

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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.