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Finding the Fourth Proportional to 7,075.76, 10,609.52 and 5,202.77

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Solution

The fourth proportional to 7,075.76, 10,609.52 and 5,202.77 is: 7,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.76 : 10,609.52 = 5,202.77 : x
  2. Step 2: Convert to fraction form
    7,075.76/10,609.52 = 5,202.77/x
  3. Step 3: Cross multiply
    7,075.76x = 10,609.52 × 5,202.77
  4. Step 4: Simplify right side
    7,075.76x = 55,198,813.31
  5. Step 5: Solve for x
    x = 55,198,813.31/7,075.76
  6. Step 6: Final answer
    x = 7,801.12

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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.