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Finding the Fourth Proportional to 4,699.47, 6,493.82 and 4,471.72

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Solution

The fourth proportional to 4,699.47, 6,493.82 and 4,471.72 is: 6,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.47 : 6,493.82 = 4,471.72 : x
  2. Step 2: Convert to fraction form
    4,699.47/6,493.82 = 4,471.72/x
  3. Step 3: Cross multiply
    4,699.47x = 6,493.82 × 4,471.72
  4. Step 4: Simplify right side
    4,699.47x = 29,038,555.42
  5. Step 5: Solve for x
    x = 29,038,555.42/4,699.47
  6. Step 6: Final answer
    x = 6,179.12

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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.