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Finding the Fourth Proportional to 6,675.71, 9,204.11 and 4,281.46

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Solution

The fourth proportional to 6,675.71, 9,204.11 and 4,281.46 is: 5,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.71 : 9,204.11 = 4,281.46 : x
  2. Step 2: Convert to fraction form
    6,675.71/9,204.11 = 4,281.46/x
  3. Step 3: Cross multiply
    6,675.71x = 9,204.11 × 4,281.46
  4. Step 4: Simplify right side
    6,675.71x = 39,407,064.25
  5. Step 5: Solve for x
    x = 39,407,064.25/6,675.71
  6. Step 6: Final answer
    x = 5,903.05

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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.