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Finding the Fourth Proportional to 7,075.86, 9,771.79 and 5,829.27

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Solution

The fourth proportional to 7,075.86, 9,771.79 and 5,829.27 is: 8,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.86 : 9,771.79 = 5,829.27 : x
  2. Step 2: Convert to fraction form
    7,075.86/9,771.79 = 5,829.27/x
  3. Step 3: Cross multiply
    7,075.86x = 9,771.79 × 5,829.27
  4. Step 4: Simplify right side
    7,075.86x = 56,962,362.01
  5. Step 5: Solve for x
    x = 56,962,362.01/7,075.86
  6. Step 6: Final answer
    x = 8,050.24

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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.