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Finding the Fourth Proportional to 5,966.46, 8,949 and 1,805.52

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Solution

The fourth proportional to 5,966.46, 8,949 and 1,805.52 is: 2,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.46 : 8,949 = 1,805.52 : x
  2. Step 2: Convert to fraction form
    5,966.46/8,949 = 1,805.52/x
  3. Step 3: Cross multiply
    5,966.46x = 8,949 × 1,805.52
  4. Step 4: Simplify right side
    5,966.46x = 16,157,598.48
  5. Step 5: Solve for x
    x = 16,157,598.48/5,966.46
  6. Step 6: Final answer
    x = 2,708.07

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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.