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Finding the Fourth Proportional to 6,520.71, 9,762.42 and 4,325.07

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Solution

The fourth proportional to 6,520.71, 9,762.42 and 4,325.07 is: 6,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.71 : 9,762.42 = 4,325.07 : x
  2. Step 2: Convert to fraction form
    6,520.71/9,762.42 = 4,325.07/x
  3. Step 3: Cross multiply
    6,520.71x = 9,762.42 × 4,325.07
  4. Step 4: Simplify right side
    6,520.71x = 42,223,149.87
  5. Step 5: Solve for x
    x = 42,223,149.87/6,520.71
  6. Step 6: Final answer
    x = 6,475.24

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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.