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Finding the Fourth Proportional to 4,694.56, 7,041.76 and 1,407.68

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Solution

The fourth proportional to 4,694.56, 7,041.76 and 1,407.68 is: 2,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.56 : 7,041.76 = 1,407.68 : x
  2. Step 2: Convert to fraction form
    4,694.56/7,041.76 = 1,407.68/x
  3. Step 3: Cross multiply
    4,694.56x = 7,041.76 × 1,407.68
  4. Step 4: Simplify right side
    4,694.56x = 9,912,544.72
  5. Step 5: Solve for x
    x = 9,912,544.72/4,694.56
  6. Step 6: Final answer
    x = 2,111.50

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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.