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Finding the Fourth Proportional to 7,605.44, 10,501.44 and 5,834.24

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Solution

The fourth proportional to 7,605.44, 10,501.44 and 5,834.24 is: 8,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.44 : 10,501.44 = 5,834.24 : x
  2. Step 2: Convert to fraction form
    7,605.44/10,501.44 = 5,834.24/x
  3. Step 3: Cross multiply
    7,605.44x = 10,501.44 × 5,834.24
  4. Step 4: Simplify right side
    7,605.44x = 61,267,921.31
  5. Step 5: Solve for x
    x = 61,267,921.31/7,605.44
  6. Step 6: Final answer
    x = 8,055.80

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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.