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Finding the Fourth Proportional to 4,853.90, 6,710.31 and 4,809.50

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Solution

The fourth proportional to 4,853.90, 6,710.31 and 4,809.50 is: 6,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.90 : 6,710.31 = 4,809.50 : x
  2. Step 2: Convert to fraction form
    4,853.90/6,710.31 = 4,809.50/x
  3. Step 3: Cross multiply
    4,853.90x = 6,710.31 × 4,809.50
  4. Step 4: Simplify right side
    4,853.90x = 32,273,220.43
  5. Step 5: Solve for x
    x = 32,273,220.43/4,853.90
  6. Step 6: Final answer
    x = 6,648.93

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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.