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Finding the Fourth Proportional to 7,057.23, 9,736.79 and 4,699.77

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Solution

The fourth proportional to 7,057.23, 9,736.79 and 4,699.77 is: 6,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.23 : 9,736.79 = 4,699.77 : x
  2. Step 2: Convert to fraction form
    7,057.23/9,736.79 = 4,699.77/x
  3. Step 3: Cross multiply
    7,057.23x = 9,736.79 × 4,699.77
  4. Step 4: Simplify right side
    7,057.23x = 45,760,650.04
  5. Step 5: Solve for x
    x = 45,760,650.04/7,057.23
  6. Step 6: Final answer
    x = 6,484.22

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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.