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Finding the Fourth Proportional to 6,861.03, 9,461.28 and 6,102.41

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Solution

The fourth proportional to 6,861.03, 9,461.28 and 6,102.41 is: 8,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.03 : 9,461.28 = 6,102.41 : x
  2. Step 2: Convert to fraction form
    6,861.03/9,461.28 = 6,102.41/x
  3. Step 3: Cross multiply
    6,861.03x = 9,461.28 × 6,102.41
  4. Step 4: Simplify right side
    6,861.03x = 57,736,647.93
  5. Step 5: Solve for x
    x = 57,736,647.93/6,861.03
  6. Step 6: Final answer
    x = 8,415.16

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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.