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Finding the Fourth Proportional to 6,894.34, 9,514.29 and 4,240.18

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Solution

The fourth proportional to 6,894.34, 9,514.29 and 4,240.18 is: 5,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.34 : 9,514.29 = 4,240.18 : x
  2. Step 2: Convert to fraction form
    6,894.34/9,514.29 = 4,240.18/x
  3. Step 3: Cross multiply
    6,894.34x = 9,514.29 × 4,240.18
  4. Step 4: Simplify right side
    6,894.34x = 40,342,302.17
  5. Step 5: Solve for x
    x = 40,342,302.17/6,894.34
  6. Step 6: Final answer
    x = 5,851.51

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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.