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Finding the Fourth Proportional to 4,483.89, 6,725.43 and 1,561.77

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Solution

The fourth proportional to 4,483.89, 6,725.43 and 1,561.77 is: 2,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.89 : 6,725.43 = 1,561.77 : x
  2. Step 2: Convert to fraction form
    4,483.89/6,725.43 = 1,561.77/x
  3. Step 3: Cross multiply
    4,483.89x = 6,725.43 × 1,561.77
  4. Step 4: Simplify right side
    4,483.89x = 10,503,574.81
  5. Step 5: Solve for x
    x = 10,503,574.81/4,483.89
  6. Step 6: Final answer
    x = 2,342.51

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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.