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Finding the Fourth Proportional to 6,493.38, 8,953.69 and 4,697.30

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Solution

The fourth proportional to 6,493.38, 8,953.69 and 4,697.30 is: 6,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.38 : 8,953.69 = 4,697.30 : x
  2. Step 2: Convert to fraction form
    6,493.38/8,953.69 = 4,697.30/x
  3. Step 3: Cross multiply
    6,493.38x = 8,953.69 × 4,697.30
  4. Step 4: Simplify right side
    6,493.38x = 42,058,168.04
  5. Step 5: Solve for x
    x = 42,058,168.04/6,493.38
  6. Step 6: Final answer
    x = 6,477.08

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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.