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Finding the Fourth Proportional to 8,410.94, 11,606.54 and 5,051.76

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Solution

The fourth proportional to 8,410.94, 11,606.54 and 5,051.76 is: 6,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.94 : 11,606.54 = 5,051.76 : x
  2. Step 2: Convert to fraction form
    8,410.94/11,606.54 = 5,051.76/x
  3. Step 3: Cross multiply
    8,410.94x = 11,606.54 × 5,051.76
  4. Step 4: Simplify right side
    8,410.94x = 58,633,429.25
  5. Step 5: Solve for x
    x = 58,633,429.25/8,410.94
  6. Step 6: Final answer
    x = 6,971.10

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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.