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Finding the Fourth Proportional to 6,887.84, 9,506.02 and 4,093.34

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Solution

The fourth proportional to 6,887.84, 9,506.02 and 4,093.34 is: 5,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.84 : 9,506.02 = 4,093.34 : x
  2. Step 2: Convert to fraction form
    6,887.84/9,506.02 = 4,093.34/x
  3. Step 3: Cross multiply
    6,887.84x = 9,506.02 × 4,093.34
  4. Step 4: Simplify right side
    6,887.84x = 38,911,324.38
  5. Step 5: Solve for x
    x = 38,911,324.38/6,887.84
  6. Step 6: Final answer
    x = 5,649.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.