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Finding the Fourth Proportional to 4,948.93, 6,829 and 2,824.30

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Solution

The fourth proportional to 4,948.93, 6,829 and 2,824.30 is: 3,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.93 : 6,829 = 2,824.30 : x
  2. Step 2: Convert to fraction form
    4,948.93/6,829 = 2,824.30/x
  3. Step 3: Cross multiply
    4,948.93x = 6,829 × 2,824.30
  4. Step 4: Simplify right side
    4,948.93x = 19,287,144.70
  5. Step 5: Solve for x
    x = 19,287,144.70/4,948.93
  6. Step 6: Final answer
    x = 3,897.24

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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.