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Finding the Fourth Proportional to 6,102.66, 8,415.75 and 4,211.22

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Solution

The fourth proportional to 6,102.66, 8,415.75 and 4,211.22 is: 5,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.66 : 8,415.75 = 4,211.22 : x
  2. Step 2: Convert to fraction form
    6,102.66/8,415.75 = 4,211.22/x
  3. Step 3: Cross multiply
    6,102.66x = 8,415.75 × 4,211.22
  4. Step 4: Simplify right side
    6,102.66x = 35,440,574.72
  5. Step 5: Solve for x
    x = 35,440,574.72/6,102.66
  6. Step 6: Final answer
    x = 5,807.40

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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.