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Finding the Fourth Proportional to 6,840.36, 10,211.07 and 6,009.98

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Solution

The fourth proportional to 6,840.36, 10,211.07 and 6,009.98 is: 8,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.36 : 10,211.07 = 6,009.98 : x
  2. Step 2: Convert to fraction form
    6,840.36/10,211.07 = 6,009.98/x
  3. Step 3: Cross multiply
    6,840.36x = 10,211.07 × 6,009.98
  4. Step 4: Simplify right side
    6,840.36x = 61,368,304.28
  5. Step 5: Solve for x
    x = 61,368,304.28/6,840.36
  6. Step 6: Final answer
    x = 8,971.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.