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Finding the Fourth Proportional to 6,349.23, 8,762.47 and 3,697.47

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Solution

The fourth proportional to 6,349.23, 8,762.47 and 3,697.47 is: 5,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.23 : 8,762.47 = 3,697.47 : x
  2. Step 2: Convert to fraction form
    6,349.23/8,762.47 = 3,697.47/x
  3. Step 3: Cross multiply
    6,349.23x = 8,762.47 × 3,697.47
  4. Step 4: Simplify right side
    6,349.23x = 32,398,935.38
  5. Step 5: Solve for x
    x = 32,398,935.38/6,349.23
  6. Step 6: Final answer
    x = 5,102.82

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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.