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Finding the Fourth Proportional to 6,114.45, 8,571.75 and 6,114.45

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Solution

The fourth proportional to 6,114.45, 8,571.75 and 6,114.45 is: 8,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.45 : 8,571.75 = 6,114.45 : x
  2. Step 2: Convert to fraction form
    6,114.45/8,571.75 = 6,114.45/x
  3. Step 3: Cross multiply
    6,114.45x = 8,571.75 × 6,114.45
  4. Step 4: Simplify right side
    6,114.45x = 52,411,536.79
  5. Step 5: Solve for x
    x = 52,411,536.79/6,114.45
  6. Step 6: Final answer
    x = 8,571.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.