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Finding the Fourth Proportional to 8,461.51, 11,669.73 and 6,342.01

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Solution

The fourth proportional to 8,461.51, 11,669.73 and 6,342.01 is: 8,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.51 : 11,669.73 = 6,342.01 : x
  2. Step 2: Convert to fraction form
    8,461.51/11,669.73 = 6,342.01/x
  3. Step 3: Cross multiply
    8,461.51x = 11,669.73 × 6,342.01
  4. Step 4: Simplify right side
    8,461.51x = 74,009,544.36
  5. Step 5: Solve for x
    x = 74,009,544.36/8,461.51
  6. Step 6: Final answer
    x = 8,746.61

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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.