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Finding the Fourth Proportional to 5,696.10, 8,493.90 and 5,493.06

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Solution

The fourth proportional to 5,696.10, 8,493.90 and 5,493.06 is: 8,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.10 : 8,493.90 = 5,493.06 : x
  2. Step 2: Convert to fraction form
    5,696.10/8,493.90 = 5,493.06/x
  3. Step 3: Cross multiply
    5,696.10x = 8,493.90 × 5,493.06
  4. Step 4: Simplify right side
    5,696.10x = 46,657,502.33
  5. Step 5: Solve for x
    x = 46,657,502.33/5,696.10
  6. Step 6: Final answer
    x = 8,191.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.