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Finding the Fourth Proportional to 4,543.98, 6,815.16 and 1,256.31

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Solution

The fourth proportional to 4,543.98, 6,815.16 and 1,256.31 is: 1,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.98 : 6,815.16 = 1,256.31 : x
  2. Step 2: Convert to fraction form
    4,543.98/6,815.16 = 1,256.31/x
  3. Step 3: Cross multiply
    4,543.98x = 6,815.16 × 1,256.31
  4. Step 4: Simplify right side
    4,543.98x = 8,561,953.66
  5. Step 5: Solve for x
    x = 8,561,953.66/4,543.98
  6. Step 6: Final answer
    x = 1,884.24

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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.