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Finding the Fourth Proportional to 6,543.54, 9,030.33 and 3,749.58

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Solution

The fourth proportional to 6,543.54, 9,030.33 and 3,749.58 is: 5,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.54 : 9,030.33 = 3,749.58 : x
  2. Step 2: Convert to fraction form
    6,543.54/9,030.33 = 3,749.58/x
  3. Step 3: Cross multiply
    6,543.54x = 9,030.33 × 3,749.58
  4. Step 4: Simplify right side
    6,543.54x = 33,859,944.76
  5. Step 5: Solve for x
    x = 33,859,944.76/6,543.54
  6. Step 6: Final answer
    x = 5,174.56

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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.