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Finding the Fourth Proportional to 4,471.71, 6,674.86 and 4,146.45

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Solution

The fourth proportional to 4,471.71, 6,674.86 and 4,146.45 is: 6,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.71 : 6,674.86 = 4,146.45 : x
  2. Step 2: Convert to fraction form
    4,471.71/6,674.86 = 4,146.45/x
  3. Step 3: Cross multiply
    4,471.71x = 6,674.86 × 4,146.45
  4. Step 4: Simplify right side
    4,471.71x = 27,676,973.25
  5. Step 5: Solve for x
    x = 27,676,973.25/4,471.71
  6. Step 6: Final answer
    x = 6,189.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.