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Finding the Fourth Proportional to 7,834.03, 10,810.96 and 4,297.25

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Solution

The fourth proportional to 7,834.03, 10,810.96 and 4,297.25 is: 5,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.03 : 10,810.96 = 4,297.25 : x
  2. Step 2: Convert to fraction form
    7,834.03/10,810.96 = 4,297.25/x
  3. Step 3: Cross multiply
    7,834.03x = 10,810.96 × 4,297.25
  4. Step 4: Simplify right side
    7,834.03x = 46,457,427.49
  5. Step 5: Solve for x
    x = 46,457,427.49/7,834.03
  6. Step 6: Final answer
    x = 5,930.21

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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.