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Finding the Fourth Proportional to 6,483.71, 9,725.57 and 1,803.71

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Solution

The fourth proportional to 6,483.71, 9,725.57 and 1,803.71 is: 2,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.71 : 9,725.57 = 1,803.71 : x
  2. Step 2: Convert to fraction form
    6,483.71/9,725.57 = 1,803.71/x
  3. Step 3: Cross multiply
    6,483.71x = 9,725.57 × 1,803.71
  4. Step 4: Simplify right side
    6,483.71x = 17,542,123.16
  5. Step 5: Solve for x
    x = 17,542,123.16/6,483.71
  6. Step 6: Final answer
    x = 2,705.57

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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.