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Finding the Fourth Proportional to 5,574.76, 7,693.86 and 3,481

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Solution

The fourth proportional to 5,574.76, 7,693.86 and 3,481 is: 4,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.76 : 7,693.86 = 3,481 : x
  2. Step 2: Convert to fraction form
    5,574.76/7,693.86 = 3,481/x
  3. Step 3: Cross multiply
    5,574.76x = 7,693.86 × 3,481
  4. Step 4: Simplify right side
    5,574.76x = 26,782,326.66
  5. Step 5: Solve for x
    x = 26,782,326.66/5,574.76
  6. Step 6: Final answer
    x = 4,804.21

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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.