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Finding the Fourth Proportional to 6,893.16, 9,512.76 and 4,242.12

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Solution

The fourth proportional to 6,893.16, 9,512.76 and 4,242.12 is: 5,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.16 : 9,512.76 = 4,242.12 : x
  2. Step 2: Convert to fraction form
    6,893.16/9,512.76 = 4,242.12/x
  3. Step 3: Cross multiply
    6,893.16x = 9,512.76 × 4,242.12
  4. Step 4: Simplify right side
    6,893.16x = 40,354,269.45
  5. Step 5: Solve for x
    x = 40,354,269.45/6,893.16
  6. Step 6: Final answer
    x = 5,854.25

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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.