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Finding the Fourth Proportional to 7,396.77, 10,203.57 and 4,564.77

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Solution

The fourth proportional to 7,396.77, 10,203.57 and 4,564.77 is: 6,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.77 : 10,203.57 = 4,564.77 : x
  2. Step 2: Convert to fraction form
    7,396.77/10,203.57 = 4,564.77/x
  3. Step 3: Cross multiply
    7,396.77x = 10,203.57 × 4,564.77
  4. Step 4: Simplify right side
    7,396.77x = 46,576,950.23
  5. Step 5: Solve for x
    x = 46,576,950.23/7,396.77
  6. Step 6: Final answer
    x = 6,296.93

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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.