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Finding the Fourth Proportional to 6,391.72, 8,824.98 and 4,897

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Solution

The fourth proportional to 6,391.72, 8,824.98 and 4,897 is: 6,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.72 : 8,824.98 = 4,897 : x
  2. Step 2: Convert to fraction form
    6,391.72/8,824.98 = 4,897/x
  3. Step 3: Cross multiply
    6,391.72x = 8,824.98 × 4,897
  4. Step 4: Simplify right side
    6,391.72x = 43,215,927.06
  5. Step 5: Solve for x
    x = 43,215,927.06/6,391.72
  6. Step 6: Final answer
    x = 6,761.24

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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.