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Finding the Fourth Proportional to 8,485.90, 11,710.56 and 4,948.44

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Solution

The fourth proportional to 8,485.90, 11,710.56 and 4,948.44 is: 6,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.90 : 11,710.56 = 4,948.44 : x
  2. Step 2: Convert to fraction form
    8,485.90/11,710.56 = 4,948.44/x
  3. Step 3: Cross multiply
    8,485.90x = 11,710.56 × 4,948.44
  4. Step 4: Simplify right side
    8,485.90x = 57,949,003.53
  5. Step 5: Solve for x
    x = 57,949,003.53/8,485.90
  6. Step 6: Final answer
    x = 6,828.86

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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.