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Finding the Fourth Proportional to 6,356.37, 8,762.07 and 4,462.64

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Solution

The fourth proportional to 6,356.37, 8,762.07 and 4,462.64 is: 6,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.37 : 8,762.07 = 4,462.64 : x
  2. Step 2: Convert to fraction form
    6,356.37/8,762.07 = 4,462.64/x
  3. Step 3: Cross multiply
    6,356.37x = 8,762.07 × 4,462.64
  4. Step 4: Simplify right side
    6,356.37x = 39,101,941.75
  5. Step 5: Solve for x
    x = 39,101,941.75/6,356.37
  6. Step 6: Final answer
    x = 6,151.62

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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.