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Finding the Fourth Proportional to 4,959.94, 7,440.64 and 1,497.10

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Solution

The fourth proportional to 4,959.94, 7,440.64 and 1,497.10 is: 2,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.94 : 7,440.64 = 1,497.10 : x
  2. Step 2: Convert to fraction form
    4,959.94/7,440.64 = 1,497.10/x
  3. Step 3: Cross multiply
    4,959.94x = 7,440.64 × 1,497.10
  4. Step 4: Simplify right side
    4,959.94x = 11,139,382.14
  5. Step 5: Solve for x
    x = 11,139,382.14/4,959.94
  6. Step 6: Final answer
    x = 2,245.87

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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.