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Finding the Fourth Proportional to 7,030.76, 9,703.41 and 4,046.54

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Solution

The fourth proportional to 7,030.76, 9,703.41 and 4,046.54 is: 5,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.76 : 9,703.41 = 4,046.54 : x
  2. Step 2: Convert to fraction form
    7,030.76/9,703.41 = 4,046.54/x
  3. Step 3: Cross multiply
    7,030.76x = 9,703.41 × 4,046.54
  4. Step 4: Simplify right side
    7,030.76x = 39,265,236.70
  5. Step 5: Solve for x
    x = 39,265,236.70/7,030.76
  6. Step 6: Final answer
    x = 5,584.78

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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.