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Finding the Fourth Proportional to 8,039, 11,094.06 and 4,682.98

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Solution

The fourth proportional to 8,039, 11,094.06 and 4,682.98 is: 6,462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039 : 11,094.06 = 4,682.98 : x
  2. Step 2: Convert to fraction form
    8,039/11,094.06 = 4,682.98/x
  3. Step 3: Cross multiply
    8,039x = 11,094.06 × 4,682.98
  4. Step 4: Simplify right side
    8,039x = 51,953,261.10
  5. Step 5: Solve for x
    x = 51,953,261.10/8,039
  6. Step 6: Final answer
    x = 6,462.65

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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.