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Finding the Fourth Proportional to 7,633.90, 10,533 and 4,490.29

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Solution

The fourth proportional to 7,633.90, 10,533 and 4,490.29 is: 6,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.90 : 10,533 = 4,490.29 : x
  2. Step 2: Convert to fraction form
    7,633.90/10,533 = 4,490.29/x
  3. Step 3: Cross multiply
    7,633.90x = 10,533 × 4,490.29
  4. Step 4: Simplify right side
    7,633.90x = 47,296,224.57
  5. Step 5: Solve for x
    x = 47,296,224.57/7,633.90
  6. Step 6: Final answer
    x = 6,195.55

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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.