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Finding the Fourth Proportional to 4,694.64, 7,041.96 and 1,407.66

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Solution

The fourth proportional to 4,694.64, 7,041.96 and 1,407.66 is: 2,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.64 : 7,041.96 = 1,407.66 : x
  2. Step 2: Convert to fraction form
    4,694.64/7,041.96 = 1,407.66/x
  3. Step 3: Cross multiply
    4,694.64x = 7,041.96 × 1,407.66
  4. Step 4: Simplify right side
    4,694.64x = 9,912,685.41
  5. Step 5: Solve for x
    x = 9,912,685.41/4,694.64
  6. Step 6: Final answer
    x = 2,111.49

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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.