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Finding the Fourth Proportional to 7,782.98, 10,740.47 and 4,425.80

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Solution

The fourth proportional to 7,782.98, 10,740.47 and 4,425.80 is: 6,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.98 : 10,740.47 = 4,425.80 : x
  2. Step 2: Convert to fraction form
    7,782.98/10,740.47 = 4,425.80/x
  3. Step 3: Cross multiply
    7,782.98x = 10,740.47 × 4,425.80
  4. Step 4: Simplify right side
    7,782.98x = 47,535,096.29
  5. Step 5: Solve for x
    x = 47,535,096.29/7,782.98
  6. Step 6: Final answer
    x = 6,107.57

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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.