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Finding the Fourth Proportional to 4,981.12, 7,471.28 and 1,283.48

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Solution

The fourth proportional to 4,981.12, 7,471.28 and 1,283.48 is: 1,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.12 : 7,471.28 = 1,283.48 : x
  2. Step 2: Convert to fraction form
    4,981.12/7,471.28 = 1,283.48/x
  3. Step 3: Cross multiply
    4,981.12x = 7,471.28 × 1,283.48
  4. Step 4: Simplify right side
    4,981.12x = 9,589,238.45
  5. Step 5: Solve for x
    x = 9,589,238.45/4,981.12
  6. Step 6: Final answer
    x = 1,925.12

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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.