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Finding the Fourth Proportional to 8,374.98, 11,557.26 and 4,648.98

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Solution

The fourth proportional to 8,374.98, 11,557.26 and 4,648.98 is: 6,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.98 : 11,557.26 = 4,648.98 : x
  2. Step 2: Convert to fraction form
    8,374.98/11,557.26 = 4,648.98/x
  3. Step 3: Cross multiply
    8,374.98x = 11,557.26 × 4,648.98
  4. Step 4: Simplify right side
    8,374.98x = 53,729,470.59
  5. Step 5: Solve for x
    x = 53,729,470.59/8,374.98
  6. Step 6: Final answer
    x = 6,415.47

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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.