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Finding the Fourth Proportional to 6,232.71, 9,347.17 and 2,071.63

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Solution

The fourth proportional to 6,232.71, 9,347.17 and 2,071.63 is: 3,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.71 : 9,347.17 = 2,071.63 : x
  2. Step 2: Convert to fraction form
    6,232.71/9,347.17 = 2,071.63/x
  3. Step 3: Cross multiply
    6,232.71x = 9,347.17 × 2,071.63
  4. Step 4: Simplify right side
    6,232.71x = 19,363,877.79
  5. Step 5: Solve for x
    x = 19,363,877.79/6,232.71
  6. Step 6: Final answer
    x = 3,106.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.