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Finding the Fourth Proportional to 4,947.26, 7,411.28 and 4,421.48

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Solution

The fourth proportional to 4,947.26, 7,411.28 and 4,421.48 is: 6,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.26 : 7,411.28 = 4,421.48 : x
  2. Step 2: Convert to fraction form
    4,947.26/7,411.28 = 4,421.48/x
  3. Step 3: Cross multiply
    4,947.26x = 7,411.28 × 4,421.48
  4. Step 4: Simplify right side
    4,947.26x = 32,768,837.35
  5. Step 5: Solve for x
    x = 32,768,837.35/4,947.26
  6. Step 6: Final answer
    x = 6,623.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.