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Finding the Fourth Proportional to 8,051.71, 11,098.52 and 6,347.43

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Solution

The fourth proportional to 8,051.71, 11,098.52 and 6,347.43 is: 8,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.71 : 11,098.52 = 6,347.43 : x
  2. Step 2: Convert to fraction form
    8,051.71/11,098.52 = 6,347.43/x
  3. Step 3: Cross multiply
    8,051.71x = 11,098.52 × 6,347.43
  4. Step 4: Simplify right side
    8,051.71x = 70,447,047.07
  5. Step 5: Solve for x
    x = 70,447,047.07/8,051.71
  6. Step 6: Final answer
    x = 8,749.33

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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.