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Finding the Fourth Proportional to 6,543.73, 9,030.59 and 3,749.77

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Solution

The fourth proportional to 6,543.73, 9,030.59 and 3,749.77 is: 5,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.73 : 9,030.59 = 3,749.77 : x
  2. Step 2: Convert to fraction form
    6,543.73/9,030.59 = 3,749.77/x
  3. Step 3: Cross multiply
    6,543.73x = 9,030.59 × 3,749.77
  4. Step 4: Simplify right side
    6,543.73x = 33,862,635.46
  5. Step 5: Solve for x
    x = 33,862,635.46/6,543.73
  6. Step 6: Final answer
    x = 5,174.82

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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.