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Finding the Fourth Proportional to 8,459.51, 11,666.97 and 6,340.01

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Solution

The fourth proportional to 8,459.51, 11,666.97 and 6,340.01 is: 8,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.51 : 11,666.97 = 6,340.01 : x
  2. Step 2: Convert to fraction form
    8,459.51/11,666.97 = 6,340.01/x
  3. Step 3: Cross multiply
    8,459.51x = 11,666.97 × 6,340.01
  4. Step 4: Simplify right side
    8,459.51x = 73,968,648.13
  5. Step 5: Solve for x
    x = 73,968,648.13/8,459.51
  6. Step 6: Final answer
    x = 8,743.85

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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.